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Finding the Fourth Proportional to 16,101.60, 24,126.48 and 9,932.64

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Solution

The fourth proportional to 16,101.60, 24,126.48 and 9,932.64 is: 14,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.60 : 24,126.48 = 9,932.64 : x
  2. Step 2: Convert to fraction form
    16,101.60/24,126.48 = 9,932.64/x
  3. Step 3: Cross multiply
    16,101.60x = 24,126.48 × 9,932.64
  4. Step 4: Simplify right side
    16,101.60x = 239,639,640.31
  5. Step 5: Solve for x
    x = 239,639,640.31/16,101.60
  6. Step 6: Final answer
    x = 14,882.97

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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.