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Finding the Fourth Proportional to 22,489.28, 33,747.36 and 8,649.92

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Solution

The fourth proportional to 22,489.28, 33,747.36 and 8,649.92 is: 12,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.28 : 33,747.36 = 8,649.92 : x
  2. Step 2: Convert to fraction form
    22,489.28/33,747.36 = 8,649.92/x
  3. Step 3: Cross multiply
    22,489.28x = 33,747.36 × 8,649.92
  4. Step 4: Simplify right side
    22,489.28x = 291,911,964.21
  5. Step 5: Solve for x
    x = 291,911,964.21/22,489.28
  6. Step 6: Final answer
    x = 12,980.05

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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.