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Finding the Fourth Proportional to 16,402.97, 22,639.30 and 9,688.28

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Solution

The fourth proportional to 16,402.97, 22,639.30 and 9,688.28 is: 13,371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.97 : 22,639.30 = 9,688.28 : x
  2. Step 2: Convert to fraction form
    16,402.97/22,639.30 = 9,688.28/x
  3. Step 3: Cross multiply
    16,402.97x = 22,639.30 × 9,688.28
  4. Step 4: Simplify right side
    16,402.97x = 219,335,739.99
  5. Step 5: Solve for x
    x = 219,335,739.99/16,402.97
  6. Step 6: Final answer
    x = 13,371.71

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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.