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Finding the Fourth Proportional to 20,414.57, 30,622.16 and 7,266.60

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Solution

The fourth proportional to 20,414.57, 30,622.16 and 7,266.60 is: 10,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.57 : 30,622.16 = 7,266.60 : x
  2. Step 2: Convert to fraction form
    20,414.57/30,622.16 = 7,266.60/x
  3. Step 3: Cross multiply
    20,414.57x = 30,622.16 × 7,266.60
  4. Step 4: Simplify right side
    20,414.57x = 222,519,006.02
  5. Step 5: Solve for x
    x = 222,519,006.02/20,414.57
  6. Step 6: Final answer
    x = 10,900.01

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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.