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Finding the Fourth Proportional to 22,652.88, 33,979.20 and 6,857.88

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Solution

The fourth proportional to 22,652.88, 33,979.20 and 6,857.88 is: 10,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.88 : 33,979.20 = 6,857.88 : x
  2. Step 2: Convert to fraction form
    22,652.88/33,979.20 = 6,857.88/x
  3. Step 3: Cross multiply
    22,652.88x = 33,979.20 × 6,857.88
  4. Step 4: Simplify right side
    22,652.88x = 233,025,276.10
  5. Step 5: Solve for x
    x = 233,025,276.10/22,652.88
  6. Step 6: Final answer
    x = 10,286.78

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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.