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Finding the Fourth Proportional to 16,099.38, 22,215.90 and 9,024.43

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Solution

The fourth proportional to 16,099.38, 22,215.90 and 9,024.43 is: 12,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.38 : 22,215.90 = 9,024.43 : x
  2. Step 2: Convert to fraction form
    16,099.38/22,215.90 = 9,024.43/x
  3. Step 3: Cross multiply
    16,099.38x = 22,215.90 × 9,024.43
  4. Step 4: Simplify right side
    16,099.38x = 200,485,834.44
  5. Step 5: Solve for x
    x = 200,485,834.44/16,099.38
  6. Step 6: Final answer
    x = 12,453.02

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Why These Related Problems?

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