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Finding the Fourth Proportional to 16,105.98, 22,221.21 and 9,299.12

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Solution

The fourth proportional to 16,105.98, 22,221.21 and 9,299.12 is: 12,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.98 : 22,221.21 = 9,299.12 : x
  2. Step 2: Convert to fraction form
    16,105.98/22,221.21 = 9,299.12/x
  3. Step 3: Cross multiply
    16,105.98x = 22,221.21 × 9,299.12
  4. Step 4: Simplify right side
    16,105.98x = 206,637,622.10
  5. Step 5: Solve for x
    x = 206,637,622.10/16,105.98
  6. Step 6: Final answer
    x = 12,829.87

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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.