Definition: 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.
Input: 3, 14, ['7445', '315', '7765', 'L', '6873', '3171', '3889', '2373', 'L', 'W', '245', '2059', 'z', '8103', '2419', '3195', 'd', '5637', '2515', 'S', 'P', '1649', '6173', 't', 'B', 'm', 'u', '8863', '8297']

34478