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Finding the Fourth Proportional to 24,832.96, 37,248.44 and 6,112.08

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Solution

The fourth proportional to 24,832.96, 37,248.44 and 6,112.08 is: 9,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.96 : 37,248.44 = 6,112.08 : x
  2. Step 2: Convert to fraction form
    24,832.96/37,248.44 = 6,112.08/x
  3. Step 3: Cross multiply
    24,832.96x = 37,248.44 × 6,112.08
  4. Step 4: Simplify right side
    24,832.96x = 227,665,414.59
  5. Step 5: Solve for x
    x = 227,665,414.59/24,832.96
  6. Step 6: Final answer
    x = 9,167.87

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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.