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Finding the Fourth Proportional to 12,568.38, 17,344.23 and 6,979.42

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Solution

The fourth proportional to 12,568.38, 17,344.23 and 6,979.42 is: 9,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.38 : 17,344.23 = 6,979.42 : x
  2. Step 2: Convert to fraction form
    12,568.38/17,344.23 = 6,979.42/x
  3. Step 3: Cross multiply
    12,568.38x = 17,344.23 × 6,979.42
  4. Step 4: Simplify right side
    12,568.38x = 121,052,665.75
  5. Step 5: Solve for x
    x = 121,052,665.75/12,568.38
  6. Step 6: Final answer
    x = 9,631.52

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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.