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Finding the Fourth Proportional to 16,212.34, 22,371.96 and 9,138.61

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Solution

The fourth proportional to 16,212.34, 22,371.96 and 9,138.61 is: 12,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.34 : 22,371.96 = 9,138.61 : x
  2. Step 2: Convert to fraction form
    16,212.34/22,371.96 = 9,138.61/x
  3. Step 3: Cross multiply
    16,212.34x = 22,371.96 × 9,138.61
  4. Step 4: Simplify right side
    16,212.34x = 204,448,617.38
  5. Step 5: Solve for x
    x = 204,448,617.38/16,212.34
  6. Step 6: Final answer
    x = 12,610.68

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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.