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Finding the Fourth Proportional to 23,757.64, 32,785.11 and 13,147.27

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Solution

The fourth proportional to 23,757.64, 32,785.11 and 13,147.27 is: 18,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.64 : 32,785.11 = 13,147.27 : x
  2. Step 2: Convert to fraction form
    23,757.64/32,785.11 = 13,147.27/x
  3. Step 3: Cross multiply
    23,757.64x = 32,785.11 × 13,147.27
  4. Step 4: Simplify right side
    23,757.64x = 431,034,693.15
  5. Step 5: Solve for x
    x = 431,034,693.15/23,757.64
  6. Step 6: Final answer
    x = 18,142.99

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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.