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Finding the Fourth Proportional to 23,753.82, 32,780.78 and 13,144.17

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Solution

The fourth proportional to 23,753.82, 32,780.78 and 13,144.17 is: 18,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.82 : 32,780.78 = 13,144.17 : x
  2. Step 2: Convert to fraction form
    23,753.82/32,780.78 = 13,144.17/x
  3. Step 3: Cross multiply
    23,753.82x = 32,780.78 × 13,144.17
  4. Step 4: Simplify right side
    23,753.82x = 430,876,145.05
  5. Step 5: Solve for x
    x = 430,876,145.05/23,753.82
  6. Step 6: Final answer
    x = 18,139.24

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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.