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Finding the Fourth Proportional to 16,126.38, 22,255.76 and 9,412.44

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Solution

The fourth proportional to 16,126.38, 22,255.76 and 9,412.44 is: 12,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.38 : 22,255.76 = 9,412.44 : x
  2. Step 2: Convert to fraction form
    16,126.38/22,255.76 = 9,412.44/x
  3. Step 3: Cross multiply
    16,126.38x = 22,255.76 × 9,412.44
  4. Step 4: Simplify right side
    16,126.38x = 209,481,005.65
  5. Step 5: Solve for x
    x = 209,481,005.65/16,126.38
  6. Step 6: Final answer
    x = 12,989.96

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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.