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Finding the Fourth Proportional to 27,793.80, 41,689.44 and 8,071.92

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Solution

The fourth proportional to 27,793.80, 41,689.44 and 8,071.92 is: 12,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.80 : 41,689.44 = 8,071.92 : x
  2. Step 2: Convert to fraction form
    27,793.80/41,689.44 = 8,071.92/x
  3. Step 3: Cross multiply
    27,793.80x = 41,689.44 × 8,071.92
  4. Step 4: Simplify right side
    27,793.80x = 336,513,824.52
  5. Step 5: Solve for x
    x = 336,513,824.52/27,793.80
  6. Step 6: Final answer
    x = 12,107.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.