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Finding the Fourth Proportional to 20,505.60, 30,736.80 and 8,020.80

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Solution

The fourth proportional to 20,505.60, 30,736.80 and 8,020.80 is: 12,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.60 : 30,736.80 = 8,020.80 : x
  2. Step 2: Convert to fraction form
    20,505.60/30,736.80 = 8,020.80/x
  3. Step 3: Cross multiply
    20,505.60x = 30,736.80 × 8,020.80
  4. Step 4: Simplify right side
    20,505.60x = 246,533,725.44
  5. Step 5: Solve for x
    x = 246,533,725.44/20,505.60
  6. Step 6: Final answer
    x = 12,022.75

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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.