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Finding the Fourth Proportional to 23,691.38, 32,694.17 and 13,080.92

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Solution

The fourth proportional to 23,691.38, 32,694.17 and 13,080.92 is: 18,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.38 : 32,694.17 = 13,080.92 : x
  2. Step 2: Convert to fraction form
    23,691.38/32,694.17 = 13,080.92/x
  3. Step 3: Cross multiply
    23,691.38x = 32,694.17 × 13,080.92
  4. Step 4: Simplify right side
    23,691.38x = 427,669,593.36
  5. Step 5: Solve for x
    x = 427,669,593.36/23,691.38
  6. Step 6: Final answer
    x = 18,051.70

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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.