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Finding the Fourth Proportional to 22,757.78, 34,138.38 and 7,175

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Solution

The fourth proportional to 22,757.78, 34,138.38 and 7,175 is: 10,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.78 : 34,138.38 = 7,175 : x
  2. Step 2: Convert to fraction form
    22,757.78/34,138.38 = 7,175/x
  3. Step 3: Cross multiply
    22,757.78x = 34,138.38 × 7,175
  4. Step 4: Simplify right side
    22,757.78x = 244,942,876.50
  5. Step 5: Solve for x
    x = 244,942,876.50/22,757.78
  6. Step 6: Final answer
    x = 10,763.04

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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.