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Finding the Fourth Proportional to 27,120.87, 40,685.17 and 8,402.38

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Solution

The fourth proportional to 27,120.87, 40,685.17 and 8,402.38 is: 12,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.87 : 40,685.17 = 8,402.38 : x
  2. Step 2: Convert to fraction form
    27,120.87/40,685.17 = 8,402.38/x
  3. Step 3: Cross multiply
    27,120.87x = 40,685.17 × 8,402.38
  4. Step 4: Simplify right side
    27,120.87x = 341,852,135.99
  5. Step 5: Solve for x
    x = 341,852,135.99/27,120.87
  6. Step 6: Final answer
    x = 12,604.76

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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.