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Finding the Fourth Proportional to 16,049.52, 22,147.92 and 8,977.68

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Solution

The fourth proportional to 16,049.52, 22,147.92 and 8,977.68 is: 12,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.52 : 22,147.92 = 8,977.68 : x
  2. Step 2: Convert to fraction form
    16,049.52/22,147.92 = 8,977.68/x
  3. Step 3: Cross multiply
    16,049.52x = 22,147.92 × 8,977.68
  4. Step 4: Simplify right side
    16,049.52x = 198,836,938.43
  5. Step 5: Solve for x
    x = 198,836,938.43/16,049.52
  6. Step 6: Final answer
    x = 12,388.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.