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Finding the Fourth Proportional to 26,932.57, 40,404.66 and 13,431.12

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Solution

The fourth proportional to 26,932.57, 40,404.66 and 13,431.12 is: 20,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,932.57 : 40,404.66 = 13,431.12 : x
  2. Step 2: Convert to fraction form
    26,932.57/40,404.66 = 13,431.12/x
  3. Step 3: Cross multiply
    26,932.57x = 40,404.66 × 13,431.12
  4. Step 4: Simplify right side
    26,932.57x = 542,679,635.14
  5. Step 5: Solve for x
    x = 542,679,635.14/26,932.57
  6. Step 6: Final answer
    x = 20,149.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.