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Finding the Fourth Proportional to 24,254.92, 36,382.38 and 7,616.42

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Solution

The fourth proportional to 24,254.92, 36,382.38 and 7,616.42 is: 11,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.92 : 36,382.38 = 7,616.42 : x
  2. Step 2: Convert to fraction form
    24,254.92/36,382.38 = 7,616.42/x
  3. Step 3: Cross multiply
    24,254.92x = 36,382.38 × 7,616.42
  4. Step 4: Simplify right side
    24,254.92x = 277,103,486.68
  5. Step 5: Solve for x
    x = 277,103,486.68/24,254.92
  6. Step 6: Final answer
    x = 11,424.63

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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.