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Finding the Fourth Proportional to 17,646.30, 24,352.18 and 9,689.26

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Solution

The fourth proportional to 17,646.30, 24,352.18 and 9,689.26 is: 13,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.30 : 24,352.18 = 9,689.26 : x
  2. Step 2: Convert to fraction form
    17,646.30/24,352.18 = 9,689.26/x
  3. Step 3: Cross multiply
    17,646.30x = 24,352.18 × 9,689.26
  4. Step 4: Simplify right side
    17,646.30x = 235,954,603.59
  5. Step 5: Solve for x
    x = 235,954,603.59/17,646.30
  6. Step 6: Final answer
    x = 13,371.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.