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Finding the Fourth Proportional to 20,755.97, 31,143.09 and 10,892.87

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Solution

The fourth proportional to 20,755.97, 31,143.09 and 10,892.87 is: 16,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,755.97 : 31,143.09 = 10,892.87 : x
  2. Step 2: Convert to fraction form
    20,755.97/31,143.09 = 10,892.87/x
  3. Step 3: Cross multiply
    20,755.97x = 31,143.09 × 10,892.87
  4. Step 4: Simplify right side
    20,755.97x = 339,237,630.77
  5. Step 5: Solve for x
    x = 339,237,630.77/20,755.97
  6. Step 6: Final answer
    x = 16,344.10

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