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Finding the Fourth Proportional to 24,046.78, 36,044.16 and 8,237.20

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Solution

The fourth proportional to 24,046.78, 36,044.16 and 8,237.20 is: 12,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,046.78 : 36,044.16 = 8,237.20 : x
  2. Step 2: Convert to fraction form
    24,046.78/36,044.16 = 8,237.20/x
  3. Step 3: Cross multiply
    24,046.78x = 36,044.16 × 8,237.20
  4. Step 4: Simplify right side
    24,046.78x = 296,902,954.75
  5. Step 5: Solve for x
    x = 296,902,954.75/24,046.78
  6. Step 6: Final answer
    x = 12,346.89

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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.