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Finding the Fourth Proportional to 27,714.65, 38,245.97 and 15,139.13

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Solution

The fourth proportional to 27,714.65, 38,245.97 and 15,139.13 is: 20,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.65 : 38,245.97 = 15,139.13 : x
  2. Step 2: Convert to fraction form
    27,714.65/38,245.97 = 15,139.13/x
  3. Step 3: Cross multiply
    27,714.65x = 38,245.97 × 15,139.13
  4. Step 4: Simplify right side
    27,714.65x = 579,010,711.81
  5. Step 5: Solve for x
    x = 579,010,711.81/27,714.65
  6. Step 6: Final answer
    x = 20,891.86

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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.