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Finding the Fourth Proportional to 12,494.43, 17,234.38 and 9,503.71

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Solution

The fourth proportional to 12,494.43, 17,234.38 and 9,503.71 is: 13,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.43 : 17,234.38 = 9,503.71 : x
  2. Step 2: Convert to fraction form
    12,494.43/17,234.38 = 9,503.71/x
  3. Step 3: Cross multiply
    12,494.43x = 17,234.38 × 9,503.71
  4. Step 4: Simplify right side
    12,494.43x = 163,790,549.55
  5. Step 5: Solve for x
    x = 163,790,549.55/12,494.43
  6. Step 6: Final answer
    x = 13,109.09

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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.