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Finding the Fourth Proportional to 20,200.96, 30,236.80 and 10,817.60

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Solution

The fourth proportional to 20,200.96, 30,236.80 and 10,817.60 is: 16,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.96 : 30,236.80 = 10,817.60 : x
  2. Step 2: Convert to fraction form
    20,200.96/30,236.80 = 10,817.60/x
  3. Step 3: Cross multiply
    20,200.96x = 30,236.80 × 10,817.60
  4. Step 4: Simplify right side
    20,200.96x = 327,089,607.68
  5. Step 5: Solve for x
    x = 327,089,607.68/20,200.96
  6. Step 6: Final answer
    x = 16,191.79

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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.