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Finding the Fourth Proportional to 16,585.38, 24,879.87 and 8,267.49

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Solution

The fourth proportional to 16,585.38, 24,879.87 and 8,267.49 is: 12,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.38 : 24,879.87 = 8,267.49 : x
  2. Step 2: Convert to fraction form
    16,585.38/24,879.87 = 8,267.49/x
  3. Step 3: Cross multiply
    16,585.38x = 24,879.87 × 8,267.49
  4. Step 4: Simplify right side
    16,585.38x = 205,694,076.43
  5. Step 5: Solve for x
    x = 205,694,076.43/16,585.38
  6. Step 6: Final answer
    x = 12,402.13

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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.