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Finding the Fourth Proportional to 20,545, 30,819.93 and 6,694

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Solution

The fourth proportional to 20,545, 30,819.93 and 6,694 is: 10,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,545 : 30,819.93 = 6,694 : x
  2. Step 2: Convert to fraction form
    20,545/30,819.93 = 6,694/x
  3. Step 3: Cross multiply
    20,545x = 30,819.93 × 6,694
  4. Step 4: Simplify right side
    20,545x = 206,308,611.42
  5. Step 5: Solve for x
    x = 206,308,611.42/20,545
  6. Step 6: Final answer
    x = 10,041.79

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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.