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Finding the Fourth Proportional to 24,872.58, 37,314.24 and 8,231.78

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Solution

The fourth proportional to 24,872.58, 37,314.24 and 8,231.78 is: 12,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.58 : 37,314.24 = 8,231.78 : x
  2. Step 2: Convert to fraction form
    24,872.58/37,314.24 = 8,231.78/x
  3. Step 3: Cross multiply
    24,872.58x = 37,314.24 × 8,231.78
  4. Step 4: Simplify right side
    24,872.58x = 307,162,427.98
  5. Step 5: Solve for x
    x = 307,162,427.98/24,872.58
  6. Step 6: Final answer
    x = 12,349.44

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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.