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Finding the Fourth Proportional to 27,863.25, 38,451.96 and 15,288

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Solution

The fourth proportional to 27,863.25, 38,451.96 and 15,288 is: 21,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,863.25 : 38,451.96 = 15,288 : x
  2. Step 2: Convert to fraction form
    27,863.25/38,451.96 = 15,288/x
  3. Step 3: Cross multiply
    27,863.25x = 38,451.96 × 15,288
  4. Step 4: Simplify right side
    27,863.25x = 587,853,564.48
  5. Step 5: Solve for x
    x = 587,853,564.48/27,863.25
  6. Step 6: Final answer
    x = 21,097.81

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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.