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Finding the Fourth Proportional to 22,205.82, 30,640.38 and 13,129.92

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Solution

The fourth proportional to 22,205.82, 30,640.38 and 13,129.92 is: 18,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.82 : 30,640.38 = 13,129.92 : x
  2. Step 2: Convert to fraction form
    22,205.82/30,640.38 = 13,129.92/x
  3. Step 3: Cross multiply
    22,205.82x = 30,640.38 × 13,129.92
  4. Step 4: Simplify right side
    22,205.82x = 402,305,738.17
  5. Step 5: Solve for x
    x = 402,305,738.17/22,205.82
  6. Step 6: Final answer
    x = 18,117.13

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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.