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Finding the Fourth Proportional to 16,107.57, 22,229.37 and 9,033.44

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Solution

The fourth proportional to 16,107.57, 22,229.37 and 9,033.44 is: 12,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,107.57 : 22,229.37 = 9,033.44 : x
  2. Step 2: Convert to fraction form
    16,107.57/22,229.37 = 9,033.44/x
  3. Step 3: Cross multiply
    16,107.57x = 22,229.37 × 9,033.44
  4. Step 4: Simplify right side
    16,107.57x = 200,807,680.13
  5. Step 5: Solve for x
    x = 200,807,680.13/16,107.57
  6. Step 6: Final answer
    x = 12,466.67

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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.