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Finding the Fourth Proportional to 22,252.58, 33,375.93 and 8,399.78

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Solution

The fourth proportional to 22,252.58, 33,375.93 and 8,399.78 is: 12,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.58 : 33,375.93 = 8,399.78 : x
  2. Step 2: Convert to fraction form
    22,252.58/33,375.93 = 8,399.78/x
  3. Step 3: Cross multiply
    22,252.58x = 33,375.93 × 8,399.78
  4. Step 4: Simplify right side
    22,252.58x = 280,350,469.30
  5. Step 5: Solve for x
    x = 280,350,469.30/22,252.58
  6. Step 6: Final answer
    x = 12,598.56

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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.