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Finding the Fourth Proportional to 27,342, 41,013 and 8,874

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Solution

The fourth proportional to 27,342, 41,013 and 8,874 is: 13,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 41,013 = 8,874 : x
  2. Step 2: Convert to fraction form
    27,342/41,013 = 8,874/x
  3. Step 3: Cross multiply
    27,342x = 41,013 × 8,874
  4. Step 4: Simplify right side
    27,342x = 363,949,362
  5. Step 5: Solve for x
    x = 363,949,362/27,342
  6. Step 6: Final answer
    x = 13,311

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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.