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Finding the Fourth Proportional to 16,012.38, 22,098.32 and 8,843.68

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Solution

The fourth proportional to 16,012.38, 22,098.32 and 8,843.68 is: 12,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.38 : 22,098.32 = 8,843.68 : x
  2. Step 2: Convert to fraction form
    16,012.38/22,098.32 = 8,843.68/x
  3. Step 3: Cross multiply
    16,012.38x = 22,098.32 × 8,843.68
  4. Step 4: Simplify right side
    16,012.38x = 195,430,487.19
  5. Step 5: Solve for x
    x = 195,430,487.19/16,012.38
  6. Step 6: Final answer
    x = 12,204.96

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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.