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Finding the Fourth Proportional to 22,337.82, 30,826.91 and 12,906.38

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Solution

The fourth proportional to 22,337.82, 30,826.91 and 12,906.38 is: 17,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,337.82 : 30,826.91 = 12,906.38 : x
  2. Step 2: Convert to fraction form
    22,337.82/30,826.91 = 12,906.38/x
  3. Step 3: Cross multiply
    22,337.82x = 30,826.91 × 12,906.38
  4. Step 4: Simplify right side
    22,337.82x = 397,863,814.69
  5. Step 5: Solve for x
    x = 397,863,814.69/22,337.82
  6. Step 6: Final answer
    x = 17,811.22

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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.