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Finding the Fourth Proportional to 17,549.39, 24,217.74 and 9,591.66

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Solution

The fourth proportional to 17,549.39, 24,217.74 and 9,591.66 is: 13,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,549.39 : 24,217.74 = 9,591.66 : x
  2. Step 2: Convert to fraction form
    17,549.39/24,217.74 = 9,591.66/x
  3. Step 3: Cross multiply
    17,549.39x = 24,217.74 × 9,591.66
  4. Step 4: Simplify right side
    17,549.39x = 232,288,328.05
  5. Step 5: Solve for x
    x = 232,288,328.05/17,549.39
  6. Step 6: Final answer
    x = 13,236.27

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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.