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Finding the Fourth Proportional to 25,342, 38,013.14 and 6,874

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Solution

The fourth proportional to 25,342, 38,013.14 and 6,874 is: 10,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342 : 38,013.14 = 6,874 : x
  2. Step 2: Convert to fraction form
    25,342/38,013.14 = 6,874/x
  3. Step 3: Cross multiply
    25,342x = 38,013.14 × 6,874
  4. Step 4: Simplify right side
    25,342x = 261,302,324.36
  5. Step 5: Solve for x
    x = 261,302,324.36/25,342
  6. Step 6: Final answer
    x = 10,311.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.