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Finding the Fourth Proportional to 16,175.38, 22,321.95 and 9,101.92

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Solution

The fourth proportional to 16,175.38, 22,321.95 and 9,101.92 is: 12,560.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.38 : 22,321.95 = 9,101.92 : x
  2. Step 2: Convert to fraction form
    16,175.38/22,321.95 = 9,101.92/x
  3. Step 3: Cross multiply
    16,175.38x = 22,321.95 × 9,101.92
  4. Step 4: Simplify right side
    16,175.38x = 203,172,603.14
  5. Step 5: Solve for x
    x = 203,172,603.14/16,175.38
  6. Step 6: Final answer
    x = 12,560.61

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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.