4) 17 + 4

1. Convert mixed numbers to improper fractions: $$17\frac{13}{18} = \frac{319}{18}$$, $$4\frac{17}{24} = \frac{113}{24}$$.
2. Find a common denominator (72): $$\frac{319}{18} = \frac{319 \times 4}{18 \times 4} = \frac{1276}{72}$$, $$\frac{113}{24} = \frac{113 \times 3}{24 \times 3} = \frac{339}{72}$$.
3. Add the fractions: $$\frac{1276}{72} + \frac{339}{72} = \frac{1615}{72} = 22\frac{31}{72}$$.