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Finding the Fourth Proportional to 16,042.89, 22,138.72 and 8,969.30

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Solution

The fourth proportional to 16,042.89, 22,138.72 and 8,969.30 is: 12,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.89 : 22,138.72 = 8,969.30 : x
  2. Step 2: Convert to fraction form
    16,042.89/22,138.72 = 8,969.30/x
  3. Step 3: Cross multiply
    16,042.89x = 22,138.72 × 8,969.30
  4. Step 4: Simplify right side
    16,042.89x = 198,568,771.20
  5. Step 5: Solve for x
    x = 198,568,771.20/16,042.89
  6. Step 6: Final answer
    x = 12,377.37

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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.