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Finding the Fourth Proportional to 16,591.20, 22,895.46 and 9,517.17

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Solution

The fourth proportional to 16,591.20, 22,895.46 and 9,517.17 is: 13,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.20 : 22,895.46 = 9,517.17 : x
  2. Step 2: Convert to fraction form
    16,591.20/22,895.46 = 9,517.17/x
  3. Step 3: Cross multiply
    16,591.20x = 22,895.46 × 9,517.17
  4. Step 4: Simplify right side
    16,591.20x = 217,899,985.05
  5. Step 5: Solve for x
    x = 217,899,985.05/16,591.20
  6. Step 6: Final answer
    x = 13,133.47

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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.