First, we determine the capacity of the small bin. Since the small bin can hold three-fourths the volume of a large bin that can store 44 towels, we calculate:
\[ \text{Capacity of the small bin} = \frac{3}{4} \times 44 = 33 \text{ towels} \]
Now, you have already put 17 towels in the small bin. To find out how many more towels can be stored in the small bin, we subtract the number of towels already in it from its total capacity:
\[ \text{Towels that can still be stored} = 33 - 17 = 16 \text{ towels} \]
Therefore, you can store up to 16 more towels.