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Finding the Fourth Proportional to 22,713.97, 34,074.21 and 6,074.56

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Solution

The fourth proportional to 22,713.97, 34,074.21 and 6,074.56 is: 9,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.97 : 34,074.21 = 6,074.56 : x
  2. Step 2: Convert to fraction form
    22,713.97/34,074.21 = 6,074.56/x
  3. Step 3: Cross multiply
    22,713.97x = 34,074.21 × 6,074.56
  4. Step 4: Simplify right side
    22,713.97x = 206,985,833.10
  5. Step 5: Solve for x
    x = 206,985,833.10/22,713.97
  6. Step 6: Final answer
    x = 9,112.71

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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.