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: 7, 18, ['279', 'o', '8421', 'e', '2167', '6647', 'i', 's', 'I', 'G', '8201', 'E', 'h', 'U', '403', 'c', 'u', 'B', '9415', 't', 'a', '8787', 'E', '9677']
Example Output: 8604

Example Input: 11, 11, ['1049', 'a', '7521', 'f', 'Z', '2973', '7245', 'e', '1807', 'e', '1325', '7327', 'r']
Example Output: 1325

Example Input: 8, 10, ['699', '7067', '8685', '9445', '7297', 'D', 'x', 'J', 'J', '5801', '55', '3193', '2855', 'P', 'G', 'X', 'Z', '9749']
Example Output:
5801