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Finding the Fourth Proportional to 27,706.25, 38,140.37 and 20,981.23

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Solution

The fourth proportional to 27,706.25, 38,140.37 and 20,981.23 is: 28,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.25 : 38,140.37 = 20,981.23 : x
  2. Step 2: Convert to fraction form
    27,706.25/38,140.37 = 20,981.23/x
  3. Step 3: Cross multiply
    27,706.25x = 38,140.37 × 20,981.23
  4. Step 4: Simplify right side
    27,706.25x = 800,231,753.68
  5. Step 5: Solve for x
    x = 800,231,753.68/27,706.25
  6. Step 6: Final answer
    x = 28,882.71

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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.