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Finding the Fourth Proportional to 27,659.52, 38,169.72 and 15,084

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Solution

The fourth proportional to 27,659.52, 38,169.72 and 15,084 is: 20,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659.52 : 38,169.72 = 15,084 : x
  2. Step 2: Convert to fraction form
    27,659.52/38,169.72 = 15,084/x
  3. Step 3: Cross multiply
    27,659.52x = 38,169.72 × 15,084
  4. Step 4: Simplify right side
    27,659.52x = 575,752,056.48
  5. Step 5: Solve for x
    x = 575,752,056.48/27,659.52
  6. Step 6: Final answer
    x = 20,815.69

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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.