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Finding the Fourth Proportional to 19,826.92, 27,361.38 and 11,446.12

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Solution

The fourth proportional to 19,826.92, 27,361.38 and 11,446.12 is: 15,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826.92 : 27,361.38 = 11,446.12 : x
  2. Step 2: Convert to fraction form
    19,826.92/27,361.38 = 11,446.12/x
  3. Step 3: Cross multiply
    19,826.92x = 27,361.38 × 11,446.12
  4. Step 4: Simplify right side
    19,826.92x = 313,181,638.85
  5. Step 5: Solve for x
    x = 313,181,638.85/19,826.92
  6. Step 6: Final answer
    x = 15,795.78

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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.