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Finding the Fourth Proportional to 23,221.57, 34,832.82 and 7,429.61

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Solution

The fourth proportional to 23,221.57, 34,832.82 and 7,429.61 is: 11,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,221.57 : 34,832.82 = 7,429.61 : x
  2. Step 2: Convert to fraction form
    23,221.57/34,832.82 = 7,429.61/x
  3. Step 3: Cross multiply
    23,221.57x = 34,832.82 × 7,429.61
  4. Step 4: Simplify right side
    23,221.57x = 258,794,267.80
  5. Step 5: Solve for x
    x = 258,794,267.80/23,221.57
  6. Step 6: Final answer
    x = 11,144.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.