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Finding the Fourth Proportional to 22,102.88, 33,154.31 and 8,251.88

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Solution

The fourth proportional to 22,102.88, 33,154.31 and 8,251.88 is: 12,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.88 : 33,154.31 = 8,251.88 : x
  2. Step 2: Convert to fraction form
    22,102.88/33,154.31 = 8,251.88/x
  3. Step 3: Cross multiply
    22,102.88x = 33,154.31 × 8,251.88
  4. Step 4: Simplify right side
    22,102.88x = 273,585,242.46
  5. Step 5: Solve for x
    x = 273,585,242.46/22,102.88
  6. Step 6: Final answer
    x = 12,377.81

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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.