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Finding the Fourth Proportional to 19,819.68, 27,352.02 and 11,860.38

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Solution

The fourth proportional to 19,819.68, 27,352.02 and 11,860.38 is: 16,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.68 : 27,352.02 = 11,860.38 : x
  2. Step 2: Convert to fraction form
    19,819.68/27,352.02 = 11,860.38/x
  3. Step 3: Cross multiply
    19,819.68x = 27,352.02 × 11,860.38
  4. Step 4: Simplify right side
    19,819.68x = 324,405,350.97
  5. Step 5: Solve for x
    x = 324,405,350.97/19,819.68
  6. Step 6: Final answer
    x = 16,367.84

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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.