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Finding the Fourth Proportional to 16,540.79, 24,815.25 and 8,224.74

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Solution

The fourth proportional to 16,540.79, 24,815.25 and 8,224.74 is: 12,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.79 : 24,815.25 = 8,224.74 : x
  2. Step 2: Convert to fraction form
    16,540.79/24,815.25 = 8,224.74/x
  3. Step 3: Cross multiply
    16,540.79x = 24,815.25 × 8,224.74
  4. Step 4: Simplify right side
    16,540.79x = 204,098,979.29
  5. Step 5: Solve for x
    x = 204,098,979.29/16,540.79
  6. Step 6: Final answer
    x = 12,339.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.