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Finding the Fourth Proportional to 27,310.82, 40,982.13 and 11,514.86

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Solution

The fourth proportional to 27,310.82, 40,982.13 and 11,514.86 is: 17,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.82 : 40,982.13 = 11,514.86 : x
  2. Step 2: Convert to fraction form
    27,310.82/40,982.13 = 11,514.86/x
  3. Step 3: Cross multiply
    27,310.82x = 40,982.13 × 11,514.86
  4. Step 4: Simplify right side
    27,310.82x = 471,903,489.45
  5. Step 5: Solve for x
    x = 471,903,489.45/27,310.82
  6. Step 6: Final answer
    x = 17,278.99

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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.