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Finding the Fourth Proportional to 13,403.20, 20,096.80 and 8,212.80

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Solution

The fourth proportional to 13,403.20, 20,096.80 and 8,212.80 is: 12,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.20 : 20,096.80 = 8,212.80 : x
  2. Step 2: Convert to fraction form
    13,403.20/20,096.80 = 8,212.80/x
  3. Step 3: Cross multiply
    13,403.20x = 20,096.80 × 8,212.80
  4. Step 4: Simplify right side
    13,403.20x = 165,050,999.04
  5. Step 5: Solve for x
    x = 165,050,999.04/13,403.20
  6. Step 6: Final answer
    x = 12,314.30

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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.