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Finding the Fourth Proportional to 22,594.28, 33,891.23 and 6,799.23

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Solution

The fourth proportional to 22,594.28, 33,891.23 and 6,799.23 is: 10,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,594.28 : 33,891.23 = 6,799.23 : x
  2. Step 2: Convert to fraction form
    22,594.28/33,891.23 = 6,799.23/x
  3. Step 3: Cross multiply
    22,594.28x = 33,891.23 × 6,799.23
  4. Step 4: Simplify right side
    22,594.28x = 230,434,265.63
  5. Step 5: Solve for x
    x = 230,434,265.63/22,594.28
  6. Step 6: Final answer
    x = 10,198.79

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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.