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Finding the Fourth Proportional to 20,031.50, 27,644.52 and 11,534.90

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Solution

The fourth proportional to 20,031.50, 27,644.52 and 11,534.90 is: 15,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.50 : 27,644.52 = 11,534.90 : x
  2. Step 2: Convert to fraction form
    20,031.50/27,644.52 = 11,534.90/x
  3. Step 3: Cross multiply
    20,031.50x = 27,644.52 × 11,534.90
  4. Step 4: Simplify right side
    20,031.50x = 318,876,773.75
  5. Step 5: Solve for x
    x = 318,876,773.75/20,031.50
  6. Step 6: Final answer
    x = 15,918.77

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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.