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Finding the Fourth Proportional to 22,791.50, 34,177.18 and 10,311.02

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Solution

The fourth proportional to 22,791.50, 34,177.18 and 10,311.02 is: 15,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.50 : 34,177.18 = 10,311.02 : x
  2. Step 2: Convert to fraction form
    22,791.50/34,177.18 = 10,311.02/x
  3. Step 3: Cross multiply
    22,791.50x = 34,177.18 × 10,311.02
  4. Step 4: Simplify right side
    22,791.50x = 352,401,586.52
  5. Step 5: Solve for x
    x = 352,401,586.52/22,791.50
  6. Step 6: Final answer
    x = 15,461.97

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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.