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Finding the Fourth Proportional to 27,694.20, 38,239.76 and 22,299.50

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Solution

The fourth proportional to 27,694.20, 38,239.76 and 22,299.50 is: 30,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.20 : 38,239.76 = 22,299.50 : x
  2. Step 2: Convert to fraction form
    27,694.20/38,239.76 = 22,299.50/x
  3. Step 3: Cross multiply
    27,694.20x = 38,239.76 × 22,299.50
  4. Step 4: Simplify right side
    27,694.20x = 852,727,528.12
  5. Step 5: Solve for x
    x = 852,727,528.12/27,694.20
  6. Step 6: Final answer
    x = 30,790.83

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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.