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Finding the Fourth Proportional to 16,542.30, 24,829.65 and 8,231.70

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Solution

The fourth proportional to 16,542.30, 24,829.65 and 8,231.70 is: 12,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.30 : 24,829.65 = 8,231.70 : x
  2. Step 2: Convert to fraction form
    16,542.30/24,829.65 = 8,231.70/x
  3. Step 3: Cross multiply
    16,542.30x = 24,829.65 × 8,231.70
  4. Step 4: Simplify right side
    16,542.30x = 204,390,229.91
  5. Step 5: Solve for x
    x = 204,390,229.91/16,542.30
  6. Step 6: Final answer
    x = 12,355.61

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1.5x scale

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.