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Finding the Fourth Proportional to 12,418.72, 17,134.16 and 7,380.38

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Solution

The fourth proportional to 12,418.72, 17,134.16 and 7,380.38 is: 10,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.72 : 17,134.16 = 7,380.38 : x
  2. Step 2: Convert to fraction form
    12,418.72/17,134.16 = 7,380.38/x
  3. Step 3: Cross multiply
    12,418.72x = 17,134.16 × 7,380.38
  4. Step 4: Simplify right side
    12,418.72x = 126,456,611.78
  5. Step 5: Solve for x
    x = 126,456,611.78/12,418.72
  6. Step 6: Final answer
    x = 10,182.74

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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.