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Finding the Fourth Proportional to 16,562.76, 24,827.52 and 8,229.96

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Solution

The fourth proportional to 16,562.76, 24,827.52 and 8,229.96 is: 12,336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.76 : 24,827.52 = 8,229.96 : x
  2. Step 2: Convert to fraction form
    16,562.76/24,827.52 = 8,229.96/x
  3. Step 3: Cross multiply
    16,562.76x = 24,827.52 × 8,229.96
  4. Step 4: Simplify right side
    16,562.76x = 204,329,496.50
  5. Step 5: Solve for x
    x = 204,329,496.50/16,562.76
  6. Step 6: Final answer
    x = 12,336.68

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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.