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Finding the Fourth Proportional to 22,764.29, 34,146.43 and 7,183.13

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Solution

The fourth proportional to 22,764.29, 34,146.43 and 7,183.13 is: 10,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.29 : 34,146.43 = 7,183.13 : x
  2. Step 2: Convert to fraction form
    22,764.29/34,146.43 = 7,183.13/x
  3. Step 3: Cross multiply
    22,764.29x = 34,146.43 × 7,183.13
  4. Step 4: Simplify right side
    22,764.29x = 245,278,057.04
  5. Step 5: Solve for x
    x = 245,278,057.04/22,764.29
  6. Step 6: Final answer
    x = 10,774.69

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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.