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Finding the Fourth Proportional to 22,777.80, 34,170.29 and 6,138.50

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Solution

The fourth proportional to 22,777.80, 34,170.29 and 6,138.50 is: 9,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.80 : 34,170.29 = 6,138.50 : x
  2. Step 2: Convert to fraction form
    22,777.80/34,170.29 = 6,138.50/x
  3. Step 3: Cross multiply
    22,777.80x = 34,170.29 × 6,138.50
  4. Step 4: Simplify right side
    22,777.80x = 209,754,123.62
  5. Step 5: Solve for x
    x = 209,754,123.62/22,777.80
  6. Step 6: Final answer
    x = 9,208.71

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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.