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Finding the Fourth Proportional to 22,493.44, 33,743.80 and 8,454.56

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Solution

The fourth proportional to 22,493.44, 33,743.80 and 8,454.56 is: 12,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.44 : 33,743.80 = 8,454.56 : x
  2. Step 2: Convert to fraction form
    22,493.44/33,743.80 = 8,454.56/x
  3. Step 3: Cross multiply
    22,493.44x = 33,743.80 × 8,454.56
  4. Step 4: Simplify right side
    22,493.44x = 285,288,981.73
  5. Step 5: Solve for x
    x = 285,288,981.73/22,493.44
  6. Step 6: Final answer
    x = 12,683.21

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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.