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Finding the Fourth Proportional to 22,997.24, 34,467.02 and 9,834.16

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Solution

The fourth proportional to 22,997.24, 34,467.02 and 9,834.16 is: 14,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.24 : 34,467.02 = 9,834.16 : x
  2. Step 2: Convert to fraction form
    22,997.24/34,467.02 = 9,834.16/x
  3. Step 3: Cross multiply
    22,997.24x = 34,467.02 × 9,834.16
  4. Step 4: Simplify right side
    22,997.24x = 338,954,189.40
  5. Step 5: Solve for x
    x = 338,954,189.40/22,997.24
  6. Step 6: Final answer
    x = 14,738.91

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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.