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Finding the Fourth Proportional to 22,489.25, 33,723.34 and 6,688.44

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Solution

The fourth proportional to 22,489.25, 33,723.34 and 6,688.44 is: 10,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.25 : 33,723.34 = 6,688.44 : x
  2. Step 2: Convert to fraction form
    22,489.25/33,723.34 = 6,688.44/x
  3. Step 3: Cross multiply
    22,489.25x = 33,723.34 × 6,688.44
  4. Step 4: Simplify right side
    22,489.25x = 225,556,519.47
  5. Step 5: Solve for x
    x = 225,556,519.47/22,489.25
  6. Step 6: Final answer
    x = 10,029.53

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