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Finding the Fourth Proportional to 20,892.74, 31,337.64 and 9,801.86

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Solution

The fourth proportional to 20,892.74, 31,337.64 and 9,801.86 is: 14,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,892.74 : 31,337.64 = 9,801.86 : x
  2. Step 2: Convert to fraction form
    20,892.74/31,337.64 = 9,801.86/x
  3. Step 3: Cross multiply
    20,892.74x = 31,337.64 × 9,801.86
  4. Step 4: Simplify right side
    20,892.74x = 307,167,160.01
  5. Step 5: Solve for x
    x = 307,167,160.01/20,892.74
  6. Step 6: Final answer
    x = 14,702.10

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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.