To arrange the fractions \(\frac{17}{18}\), \(\frac{29}{30}\), \(\frac{23}{24}\), and \(\frac{19}{20}\) in ascending order, we can compare them by converting them to decimals or by finding a common denominator. Here, we will convert these fractions to decimals for comparison: 

Convert \(\frac{17}{18}\) to decimal:

\[\frac{17}{18} \approx 0.9444\]

Convert \(\frac{29}{30}\) to decimal:

\[\frac{29}{30} \approx 0.9667\]

Convert \(\frac{23}{24}\) to decimal:

\[\frac{23}{24} \approx 0.9583\]

Convert \(\frac{19}{20}\) to decimal:

\[\frac{19}{20} = 0.95\]

Now, let's compare the decimals:

• \(0.9444\)\) for \(\frac{17}{18}\)
• \(0.95\)\) for \(\frac{19}{20}\)
• \(0.9583\)\) for \(\frac{23}{24}\)
• \(0.9667\)\) for \(\frac{29}{30}\)

Arranging these decimals in ascending order, we get:

1. \(0.9444\)\) for \(\frac{17}{18}\)
2. \(0.95\)\) for \(\frac{19}{20}\)
3. \(0.9583\)\) for \(\frac{23}{24}\)
4. \(0.9667\)\) for \(\frac{29}{30}\)

Therefore, the fractions in ascending order are:

\(\frac{17}{18} < \frac{19}{20} < \frac{23}{24} < \frac{29}{30}\)

Thus, the correct answer is:

\(\frac{17}{18} < \frac{19}{20} < \frac{23}{24} < \frac{29}{30}\)