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Finding the Fourth Proportional to 16,107.13, 22,227.78 and 9,033.54

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Solution

The fourth proportional to 16,107.13, 22,227.78 and 9,033.54 is: 12,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.13 : 22,227.78 = 9,033.54 : x
  2. Step 2: Convert to fraction form
    16,107.13/22,227.78 = 9,033.54/x
  3. Step 3: Cross multiply
    16,107.13x = 22,227.78 × 9,033.54
  4. Step 4: Simplify right side
    16,107.13x = 200,795,428.60
  5. Step 5: Solve for x
    x = 200,795,428.60/16,107.13
  6. Step 6: Final answer
    x = 12,466.24

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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.