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Finding the Fourth Proportional to 16,581.92, 22,882.86 and 9,028.26

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Solution

The fourth proportional to 16,581.92, 22,882.86 and 9,028.26 is: 12,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.92 : 22,882.86 = 9,028.26 : x
  2. Step 2: Convert to fraction form
    16,581.92/22,882.86 = 9,028.26/x
  3. Step 3: Cross multiply
    16,581.92x = 22,882.86 × 9,028.26
  4. Step 4: Simplify right side
    16,581.92x = 206,592,409.62
  5. Step 5: Solve for x
    x = 206,592,409.62/16,581.92
  6. Step 6: Final answer
    x = 12,458.90

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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.