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Finding the Fourth Proportional to 27,134, 40,716.36 and 12,542

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Solution

The fourth proportional to 27,134, 40,716.36 and 12,542 is: 18,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134 : 40,716.36 = 12,542 : x
  2. Step 2: Convert to fraction form
    27,134/40,716.36 = 12,542/x
  3. Step 3: Cross multiply
    27,134x = 40,716.36 × 12,542
  4. Step 4: Simplify right side
    27,134x = 510,664,587.12
  5. Step 5: Solve for x
    x = 510,664,587.12/27,134
  6. Step 6: Final answer
    x = 18,820.10

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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.