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Finding the Fourth Proportional to 24,446.12, 36,645.77 and 7,796.97

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Solution

The fourth proportional to 24,446.12, 36,645.77 and 7,796.97 is: 11,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.12 : 36,645.77 = 7,796.97 : x
  2. Step 2: Convert to fraction form
    24,446.12/36,645.77 = 7,796.97/x
  3. Step 3: Cross multiply
    24,446.12x = 36,645.77 × 7,796.97
  4. Step 4: Simplify right side
    24,446.12x = 285,725,930.33
  5. Step 5: Solve for x
    x = 285,725,930.33/24,446.12
  6. Step 6: Final answer
    x = 11,687.99

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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.