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Finding the Fourth Proportional to 27,744.75, 38,287.76 and 15,169.50

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Solution

The fourth proportional to 27,744.75, 38,287.76 and 15,169.50 is: 20,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.75 : 38,287.76 = 15,169.50 : x
  2. Step 2: Convert to fraction form
    27,744.75/38,287.76 = 15,169.50/x
  3. Step 3: Cross multiply
    27,744.75x = 38,287.76 × 15,169.50
  4. Step 4: Simplify right side
    27,744.75x = 580,806,099.47
  5. Step 5: Solve for x
    x = 580,806,099.47/27,744.75
  6. Step 6: Final answer
    x = 20,933.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.