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: 2, 20, ['7991', '1029', 'L', '3307', 'A', '6641', '8833', 'J', '2751', '7457', 'f', '943', 'D', '5609', '5123', '5561', 'N', '1755', '1117', 'C', 'k', '6657', '2569']
Example Output: 50126

Example Input: 5, 9, ['9825', '3055', '9869', 'B', 'a', 'W', 'Q', 'k', '4383', 'Q', '8523', 's', 'R', '1481', '5887', '239', 'M', '7121', '6311']
Example Output: 4383

Example Input: 12, 12, ['k', '9631', 'b', 'B', '9607', 'R', 'R', '2617', 'x', 'b', 'X', 'm']
Example Output:
0