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Finding the Fourth Proportional to 22,244.32, 33,375.78 and 9,757.90

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Solution

The fourth proportional to 22,244.32, 33,375.78 and 9,757.90 is: 14,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,244.32 : 33,375.78 = 9,757.90 : x
  2. Step 2: Convert to fraction form
    22,244.32/33,375.78 = 9,757.90/x
  3. Step 3: Cross multiply
    22,244.32x = 33,375.78 × 9,757.90
  4. Step 4: Simplify right side
    22,244.32x = 325,677,523.66
  5. Step 5: Solve for x
    x = 325,677,523.66/22,244.32
  6. Step 6: Final answer
    x = 14,640.93

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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.