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Finding the Fourth Proportional to 23,882.72, 32,958.09 and 13,127.47

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Solution

The fourth proportional to 23,882.72, 32,958.09 and 13,127.47 is: 18,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.72 : 32,958.09 = 13,127.47 : x
  2. Step 2: Convert to fraction form
    23,882.72/32,958.09 = 13,127.47/x
  3. Step 3: Cross multiply
    23,882.72x = 32,958.09 × 13,127.47
  4. Step 4: Simplify right side
    23,882.72x = 432,656,255.34
  5. Step 5: Solve for x
    x = 432,656,255.34/23,882.72
  6. Step 6: Final answer
    x = 18,115.87

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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.