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Finding the Fourth Proportional to 22,874.40, 34,306.04 and 6,234.52

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Solution

The fourth proportional to 22,874.40, 34,306.04 and 6,234.52 is: 9,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.40 : 34,306.04 = 6,234.52 : x
  2. Step 2: Convert to fraction form
    22,874.40/34,306.04 = 6,234.52/x
  3. Step 3: Cross multiply
    22,874.40x = 34,306.04 × 6,234.52
  4. Step 4: Simplify right side
    22,874.40x = 213,881,692.50
  5. Step 5: Solve for x
    x = 213,881,692.50/22,874.40
  6. Step 6: Final answer
    x = 9,350.26

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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.