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Finding the Fourth Proportional to 24,379.20, 36,557.92 and 7,736.16

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Solution

The fourth proportional to 24,379.20, 36,557.92 and 7,736.16 is: 11,600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.20 : 36,557.92 = 7,736.16 : x
  2. Step 2: Convert to fraction form
    24,379.20/36,557.92 = 7,736.16/x
  3. Step 3: Cross multiply
    24,379.20x = 36,557.92 × 7,736.16
  4. Step 4: Simplify right side
    24,379.20x = 282,817,918.39
  5. Step 5: Solve for x
    x = 282,817,918.39/24,379.20
  6. Step 6: Final answer
    x = 11,600.79

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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.