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Finding the Fourth Proportional to 27,867, 38,456.46 and 15,291.75

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Solution

The fourth proportional to 27,867, 38,456.46 and 15,291.75 is: 21,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867 : 38,456.46 = 15,291.75 : x
  2. Step 2: Convert to fraction form
    27,867/38,456.46 = 15,291.75/x
  3. Step 3: Cross multiply
    27,867x = 38,456.46 × 15,291.75
  4. Step 4: Simplify right side
    27,867x = 588,066,572.21
  5. Step 5: Solve for x
    x = 588,066,572.21/27,867
  6. Step 6: Final answer
    x = 21,102.62

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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.