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Finding the Fourth Proportional to 22,726.62, 34,091.25 and 7,144.23

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Solution

The fourth proportional to 22,726.62, 34,091.25 and 7,144.23 is: 10,716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,726.62 : 34,091.25 = 7,144.23 : x
  2. Step 2: Convert to fraction form
    22,726.62/34,091.25 = 7,144.23/x
  3. Step 3: Cross multiply
    22,726.62x = 34,091.25 × 7,144.23
  4. Step 4: Simplify right side
    22,726.62x = 243,555,730.99
  5. Step 5: Solve for x
    x = 243,555,730.99/22,726.62
  6. Step 6: Final answer
    x = 10,716.76

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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.