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: 1, 9, ['6869', '4103', 'S', 'k', '6745', 'n', 'x', '7657', 'F', 'd', '1953']
Example Output: 25374

Example Input: 17, 21, ['7037', '9447', 'f', 'R', '1237', '5735', '1327', '1371', 'd', '3025', 'B', '9165', '3447', '6135', '3315', 'l', '8069', 'g', 'H', 'e', '4523', '3149', 'H', 'o', '3947']
Example Output: 12592

Example Input: 9, 11, ['s', 'v', '3209', '7021', '9469', '8169', '9273', 'm', 'X', 'Y', '6279', 'm', '61', 'x', '6569', '809', 'n', 'd', 'l', 'R', 'I', 'G']
Example Output:
6279