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Finding the Fourth Proportional to 16,581.20, 22,882.02 and 9,027.42

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Solution

The fourth proportional to 16,581.20, 22,882.02 and 9,027.42 is: 12,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.20 : 22,882.02 = 9,027.42 : x
  2. Step 2: Convert to fraction form
    16,581.20/22,882.02 = 9,027.42/x
  3. Step 3: Cross multiply
    16,581.20x = 22,882.02 × 9,027.42
  4. Step 4: Simplify right side
    16,581.20x = 206,565,604.99
  5. Step 5: Solve for x
    x = 206,565,604.99/16,581.20
  6. Step 6: Final answer
    x = 12,457.82

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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.