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Finding the Fourth Proportional to 27,310.94, 40,982.33 and 11,514.99

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Solution

The fourth proportional to 27,310.94, 40,982.33 and 11,514.99 is: 17,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.94 : 40,982.33 = 11,514.99 : x
  2. Step 2: Convert to fraction form
    27,310.94/40,982.33 = 11,514.99/x
  3. Step 3: Cross multiply
    27,310.94x = 40,982.33 × 11,514.99
  4. Step 4: Simplify right side
    27,310.94x = 471,911,120.13
  5. Step 5: Solve for x
    x = 471,911,120.13/27,310.94
  6. Step 6: Final answer
    x = 17,279.20

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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.