To determine how many pies the town should order, we first need to calculate how many slices are in each pie. Each pie is cut into 12 slices.
Next, we need to find the total number of pies required to have 14,784 slices. To do this, we divide the total number of slices by the number of slices per pie:
\[ \text{Number of pies} = \frac{\text{Total number of slices}}{\text{Slices per pie}} = \frac{14,784}{12} \]
Now, we perform the division:
\[ 14,784 \div 12 = 1,232 \]
Thus, the town needs to order 1,232 pies to have a total of 14,784 slices of cherry pie.