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Finding the Fourth Proportional to 12,432.42, 17,158.20 and 6,982.38

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Solution

The fourth proportional to 12,432.42, 17,158.20 and 6,982.38 is: 9,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.42 : 17,158.20 = 6,982.38 : x
  2. Step 2: Convert to fraction form
    12,432.42/17,158.20 = 6,982.38/x
  3. Step 3: Cross multiply
    12,432.42x = 17,158.20 × 6,982.38
  4. Step 4: Simplify right side
    12,432.42x = 119,805,136.86
  5. Step 5: Solve for x
    x = 119,805,136.86/12,432.42
  6. Step 6: Final answer
    x = 9,636.51

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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.