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Finding the Fourth Proportional to 12,747.38, 17,599.86 and 7,974.54

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Solution

The fourth proportional to 12,747.38, 17,599.86 and 7,974.54 is: 11,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.38 : 17,599.86 = 7,974.54 : x
  2. Step 2: Convert to fraction form
    12,747.38/17,599.86 = 7,974.54/x
  3. Step 3: Cross multiply
    12,747.38x = 17,599.86 × 7,974.54
  4. Step 4: Simplify right side
    12,747.38x = 140,350,787.56
  5. Step 5: Solve for x
    x = 140,350,787.56/12,747.38
  6. Step 6: Final answer
    x = 11,010.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.