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Finding the Fourth Proportional to 20,414.82, 30,622.54 and 7,266.85

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Solution

The fourth proportional to 20,414.82, 30,622.54 and 7,266.85 is: 10,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.82 : 30,622.54 = 7,266.85 : x
  2. Step 2: Convert to fraction form
    20,414.82/30,622.54 = 7,266.85/x
  3. Step 3: Cross multiply
    20,414.82x = 30,622.54 × 7,266.85
  4. Step 4: Simplify right side
    20,414.82x = 222,529,404.80
  5. Step 5: Solve for x
    x = 222,529,404.80/20,414.82
  6. Step 6: Final answer
    x = 10,900.39

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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.