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Finding the Fourth Proportional to 19,914.92, 27,481.38 and 11,529.80

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Solution

The fourth proportional to 19,914.92, 27,481.38 and 11,529.80 is: 15,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,914.92 : 27,481.38 = 11,529.80 : x
  2. Step 2: Convert to fraction form
    19,914.92/27,481.38 = 11,529.80/x
  3. Step 3: Cross multiply
    19,914.92x = 27,481.38 × 11,529.80
  4. Step 4: Simplify right side
    19,914.92x = 316,854,815.12
  5. Step 5: Solve for x
    x = 316,854,815.12/19,914.92
  6. Step 6: Final answer
    x = 15,910.42

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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.