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Finding the Fourth Proportional to 18,650.12, 27,971.11 and 6,167.19

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Solution

The fourth proportional to 18,650.12, 27,971.11 and 6,167.19 is: 9,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,650.12 : 27,971.11 = 6,167.19 : x
  2. Step 2: Convert to fraction form
    18,650.12/27,971.11 = 6,167.19/x
  3. Step 3: Cross multiply
    18,650.12x = 27,971.11 × 6,167.19
  4. Step 4: Simplify right side
    18,650.12x = 172,503,149.88
  5. Step 5: Solve for x
    x = 172,503,149.88/18,650.12
  6. Step 6: Final answer
    x = 9,249.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.