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Finding the Fourth Proportional to 24,126.46, 36,194.82 and 7,486.09

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Solution

The fourth proportional to 24,126.46, 36,194.82 and 7,486.09 is: 11,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126.46 : 36,194.82 = 7,486.09 : x
  2. Step 2: Convert to fraction form
    24,126.46/36,194.82 = 7,486.09/x
  3. Step 3: Cross multiply
    24,126.46x = 36,194.82 × 7,486.09
  4. Step 4: Simplify right side
    24,126.46x = 270,957,680.05
  5. Step 5: Solve for x
    x = 270,957,680.05/24,126.46
  6. Step 6: Final answer
    x = 11,230.73

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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.