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Finding the Fourth Proportional to 20,609.82, 30,914.19 and 5,819.76

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Solution

The fourth proportional to 20,609.82, 30,914.19 and 5,819.76 is: 8,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609.82 : 30,914.19 = 5,819.76 : x
  2. Step 2: Convert to fraction form
    20,609.82/30,914.19 = 5,819.76/x
  3. Step 3: Cross multiply
    20,609.82x = 30,914.19 × 5,819.76
  4. Step 4: Simplify right side
    20,609.82x = 179,913,166.39
  5. Step 5: Solve for x
    x = 179,913,166.39/20,609.82
  6. Step 6: Final answer
    x = 8,729.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.