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Finding the Fourth Proportional to 23,781.73, 32,818.22 and 13,171.81

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Solution

The fourth proportional to 23,781.73, 32,818.22 and 13,171.81 is: 18,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.73 : 32,818.22 = 13,171.81 : x
  2. Step 2: Convert to fraction form
    23,781.73/32,818.22 = 13,171.81/x
  3. Step 3: Cross multiply
    23,781.73x = 32,818.22 × 13,171.81
  4. Step 4: Simplify right side
    23,781.73x = 432,275,358.38
  5. Step 5: Solve for x
    x = 432,275,358.38/23,781.73
  6. Step 6: Final answer
    x = 18,176.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.