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Finding the Fourth Proportional to 26,593.50, 39,892.17 and 10,177.50

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Solution

The fourth proportional to 26,593.50, 39,892.17 and 10,177.50 is: 15,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,593.50 : 39,892.17 = 10,177.50 : x
  2. Step 2: Convert to fraction form
    26,593.50/39,892.17 = 10,177.50/x
  3. Step 3: Cross multiply
    26,593.50x = 39,892.17 × 10,177.50
  4. Step 4: Simplify right side
    26,593.50x = 406,002,560.18
  5. Step 5: Solve for x
    x = 406,002,560.18/26,593.50
  6. Step 6: Final answer
    x = 15,266.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.