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Finding the Fourth Proportional to 24,902.17, 37,353.29 and 8,257.82

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Solution

The fourth proportional to 24,902.17, 37,353.29 and 8,257.82 is: 12,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.17 : 37,353.29 = 8,257.82 : x
  2. Step 2: Convert to fraction form
    24,902.17/37,353.29 = 8,257.82/x
  3. Step 3: Cross multiply
    24,902.17x = 37,353.29 × 8,257.82
  4. Step 4: Simplify right side
    24,902.17x = 308,456,517.17
  5. Step 5: Solve for x
    x = 308,456,517.17/24,902.17
  6. Step 6: Final answer
    x = 12,386.73

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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.