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Finding the Fourth Proportional to 22,205.38, 30,644.13 and 12,134.77

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Solution

The fourth proportional to 22,205.38, 30,644.13 and 12,134.77 is: 16,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.38 : 30,644.13 = 12,134.77 : x
  2. Step 2: Convert to fraction form
    22,205.38/30,644.13 = 12,134.77/x
  3. Step 3: Cross multiply
    22,205.38x = 30,644.13 × 12,134.77
  4. Step 4: Simplify right side
    22,205.38x = 371,859,469.40
  5. Step 5: Solve for x
    x = 371,859,469.40/22,205.38
  6. Step 6: Final answer
    x = 16,746.37

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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.