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: 9, 13, ['x', '4589', 'q', 'X', 'Q', 'e', '8007', '5779', 'Z', '8503', 's', '6425', '133', '5389', 'e', '9477', '3763', 'Q', 'B', 'r', 'P']
Example Output: 15061

Example Input: 10, 22, ['4049', '2745', 'g', 'T', 'N', 'u', 'Q', '3687', '5871', 'i', '9139', '585', '8435', '5761', '5825', '5909', 'f', '6317', '8227', '4051', 'E', '5167', '6953', 'g', '4113', '2493']
Example Output: 59416

Example Input: 1, 13, ['F', 'i', 'S', '6987', '8185', '7017', 'z', '4399', 'O', '2865', '4555', '1225', '8793', 'b']
Example Output:
44026