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Finding the Fourth Proportional to 17,680.61, 24,397.19 and 10,126.49

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Solution

The fourth proportional to 17,680.61, 24,397.19 and 10,126.49 is: 13,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.61 : 24,397.19 = 10,126.49 : x
  2. Step 2: Convert to fraction form
    17,680.61/24,397.19 = 10,126.49/x
  3. Step 3: Cross multiply
    17,680.61x = 24,397.19 × 10,126.49
  4. Step 4: Simplify right side
    17,680.61x = 247,057,778.58
  5. Step 5: Solve for x
    x = 247,057,778.58/17,680.61
  6. Step 6: Final answer
    x = 13,973.38

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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.