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Finding the Fourth Proportional to 27,137.15, 40,711.53 and 8,416.78

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Solution

The fourth proportional to 27,137.15, 40,711.53 and 8,416.78 is: 12,626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.15 : 40,711.53 = 8,416.78 : x
  2. Step 2: Convert to fraction form
    27,137.15/40,711.53 = 8,416.78/x
  3. Step 3: Cross multiply
    27,137.15x = 40,711.53 × 8,416.78
  4. Step 4: Simplify right side
    27,137.15x = 342,659,787.92
  5. Step 5: Solve for x
    x = 342,659,787.92/27,137.15
  6. Step 6: Final answer
    x = 12,626.96

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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.