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.
3, 20, ['5607', 'Z', 'C', 'B', '623', 'r', 'i', '7357', '9051', '8973', '3163', 'X', 'z', '2683', 'x', '9837', '5217', 'f', '1609', '3721', 'w']