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Finding the Fourth Proportional to 13,251.93, 18,286.91 and 8,149.39

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Solution

The fourth proportional to 13,251.93, 18,286.91 and 8,149.39 is: 11,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.93 : 18,286.91 = 8,149.39 : x
  2. Step 2: Convert to fraction form
    13,251.93/18,286.91 = 8,149.39/x
  3. Step 3: Cross multiply
    13,251.93x = 18,286.91 × 8,149.39
  4. Step 4: Simplify right side
    13,251.93x = 149,027,070.05
  5. Step 5: Solve for x
    x = 149,027,070.05/13,251.93
  6. Step 6: Final answer
    x = 11,245.69

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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.