In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 4, 4, ['2227', '1525', 'g', 'l', 'R']
Example Output: 0

Example Input: 9, 15, ['9375', '9663', 'i', '9607', '4257', '9757', 'r', '937', 'm', 's', '9193', '2269', '4627', '2051', '7045']
Example Output: 25185

Example Input: 3, 14, ['2633', 'y', 'U', '3831', 'i', '9177', '9337', 'b', 'S', 'b', 'F', '689', 'n', '1173']
Example Output:
24207