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Finding the Fourth Proportional to 12,642.52, 17,452.38 and 9,279.40

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Solution

The fourth proportional to 12,642.52, 17,452.38 and 9,279.40 is: 12,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.52 : 17,452.38 = 9,279.40 : x
  2. Step 2: Convert to fraction form
    12,642.52/17,452.38 = 9,279.40/x
  3. Step 3: Cross multiply
    12,642.52x = 17,452.38 × 9,279.40
  4. Step 4: Simplify right side
    12,642.52x = 161,947,614.97
  5. Step 5: Solve for x
    x = 161,947,614.97/12,642.52
  6. Step 6: Final answer
    x = 12,809.76

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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.