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: 1, 6, ['1529', '2989', 'T', '8059', 'f', 'j', 'x', '2209']
Example Output: 12577

Example Input: 4, 13, ['d', 'v', 'K', '2011', '7323', '5735', 'u', '4227', 's', 'n', '1161', 'm', '5463', 'I', '2813']
Example Output:
25920