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Finding the Fourth Proportional to 22,026.38, 30,396.43 and 11,954.82

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Solution

The fourth proportional to 22,026.38, 30,396.43 and 11,954.82 is: 16,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026.38 : 30,396.43 = 11,954.82 : x
  2. Step 2: Convert to fraction form
    22,026.38/30,396.43 = 11,954.82/x
  3. Step 3: Cross multiply
    22,026.38x = 30,396.43 × 11,954.82
  4. Step 4: Simplify right side
    22,026.38x = 363,383,849.29
  5. Step 5: Solve for x
    x = 363,383,849.29/22,026.38
  6. Step 6: Final answer
    x = 16,497.67

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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.