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Finding the Fourth Proportional to 20,414.40, 30,621.60 and 7,281.60

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Solution

The fourth proportional to 20,414.40, 30,621.60 and 7,281.60 is: 10,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.40 : 30,621.60 = 7,281.60 : x
  2. Step 2: Convert to fraction form
    20,414.40/30,621.60 = 7,281.60/x
  3. Step 3: Cross multiply
    20,414.40x = 30,621.60 × 7,281.60
  4. Step 4: Simplify right side
    20,414.40x = 222,974,242.56
  5. Step 5: Solve for x
    x = 222,974,242.56/20,414.40
  6. Step 6: Final answer
    x = 10,922.40

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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.