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Finding the Fourth Proportional to 22,997.38, 34,467.21 and 9,834.27

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Solution

The fourth proportional to 22,997.38, 34,467.21 and 9,834.27 is: 14,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.38 : 34,467.21 = 9,834.27 : x
  2. Step 2: Convert to fraction form
    22,997.38/34,467.21 = 9,834.27/x
  3. Step 3: Cross multiply
    22,997.38x = 34,467.21 × 9,834.27
  4. Step 4: Simplify right side
    22,997.38x = 338,959,849.29
  5. Step 5: Solve for x
    x = 338,959,849.29/22,997.38
  6. Step 6: Final answer
    x = 14,739.07

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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.