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: 5, 15, ['5049', '2581', '4617', 'b', 'c', 'z', '8247', 'd', '1413', '7797', 'K', 'T', '9009', 'V', '5179', '1643', '3923', '4885', 'j', '6717', 'D', 'D', 'O', '5777', 'W', 'J', '6267', 'e']
Example Output: 31645

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: 8, 22, ['9385', '9373', '9537', 'E', '9457', '5797', 'o', 'w', '1937', 'V', 'P', '3341', '1827', '7561', '5291', 'M', '5187', 'x', 'c', '4191', 'u', '2743']
Example Output:
32078