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Finding the Fourth Proportional to 12,711.70, 17,542.02 and 7,332.13

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Solution

The fourth proportional to 12,711.70, 17,542.02 and 7,332.13 is: 10,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.70 : 17,542.02 = 7,332.13 : x
  2. Step 2: Convert to fraction form
    12,711.70/17,542.02 = 7,332.13/x
  3. Step 3: Cross multiply
    12,711.70x = 17,542.02 × 7,332.13
  4. Step 4: Simplify right side
    12,711.70x = 128,620,371.10
  5. Step 5: Solve for x
    x = 128,620,371.10/12,711.70
  6. Step 6: Final answer
    x = 10,118.27

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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.