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Finding the Fourth Proportional to 24,562.32, 36,850.80 and 7,924.96

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Solution

The fourth proportional to 24,562.32, 36,850.80 and 7,924.96 is: 11,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.32 : 36,850.80 = 7,924.96 : x
  2. Step 2: Convert to fraction form
    24,562.32/36,850.80 = 7,924.96/x
  3. Step 3: Cross multiply
    24,562.32x = 36,850.80 × 7,924.96
  4. Step 4: Simplify right side
    24,562.32x = 292,041,115.97
  5. Step 5: Solve for x
    x = 292,041,115.97/24,562.32
  6. Step 6: Final answer
    x = 11,889.80

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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.