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Finding the Fourth Proportional to 16,297.72, 22,491.97 and 9,224.14

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Solution

The fourth proportional to 16,297.72, 22,491.97 and 9,224.14 is: 12,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.72 : 22,491.97 = 9,224.14 : x
  2. Step 2: Convert to fraction form
    16,297.72/22,491.97 = 9,224.14/x
  3. Step 3: Cross multiply
    16,297.72x = 22,491.97 × 9,224.14
  4. Step 4: Simplify right side
    16,297.72x = 207,469,000.87
  5. Step 5: Solve for x
    x = 207,469,000.87/16,297.72
  6. Step 6: Final answer
    x = 12,729.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.