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Finding the Fourth Proportional to 27,659.28, 38,169.42 and 15,084

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Solution

The fourth proportional to 27,659.28, 38,169.42 and 15,084 is: 20,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.28 : 38,169.42 = 15,084 : x
  2. Step 2: Convert to fraction form
    27,659.28/38,169.42 = 15,084/x
  3. Step 3: Cross multiply
    27,659.28x = 38,169.42 × 15,084
  4. Step 4: Simplify right side
    27,659.28x = 575,747,531.28
  5. Step 5: Solve for x
    x = 575,747,531.28/27,659.28
  6. Step 6: Final answer
    x = 20,815.71

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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.