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Finding the Fourth Proportional to 16,314.38, 24,470.27 and 5,218.08

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Solution

The fourth proportional to 16,314.38, 24,470.27 and 5,218.08 is: 7,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.38 : 24,470.27 = 5,218.08 : x
  2. Step 2: Convert to fraction form
    16,314.38/24,470.27 = 5,218.08/x
  3. Step 3: Cross multiply
    16,314.38x = 24,470.27 × 5,218.08
  4. Step 4: Simplify right side
    16,314.38x = 127,687,800.39
  5. Step 5: Solve for x
    x = 127,687,800.39/16,314.38
  6. Step 6: Final answer
    x = 7,826.71

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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.