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Finding the Fourth Proportional to 27,744.43, 38,287.14 and 15,169.18

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Solution

The fourth proportional to 27,744.43, 38,287.14 and 15,169.18 is: 20,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.43 : 38,287.14 = 15,169.18 : x
  2. Step 2: Convert to fraction form
    27,744.43/38,287.14 = 15,169.18/x
  3. Step 3: Cross multiply
    27,744.43x = 38,287.14 × 15,169.18
  4. Step 4: Simplify right side
    27,744.43x = 580,784,518.35
  5. Step 5: Solve for x
    x = 580,784,518.35/27,744.43
  6. Step 6: Final answer
    x = 20,933.37

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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.