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Finding the Fourth Proportional to 23,781.80, 32,819.12 and 13,171.36

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Solution

The fourth proportional to 23,781.80, 32,819.12 and 13,171.36 is: 18,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.80 : 32,819.12 = 13,171.36 : x
  2. Step 2: Convert to fraction form
    23,781.80/32,819.12 = 13,171.36/x
  3. Step 3: Cross multiply
    23,781.80x = 32,819.12 × 13,171.36
  4. Step 4: Simplify right side
    23,781.80x = 432,272,481.52
  5. Step 5: Solve for x
    x = 432,272,481.52/23,781.80
  6. Step 6: Final answer
    x = 18,176.61

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