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Finding the Fourth Proportional to 13,510.40, 20,247.67 and 7,183.96

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Solution

The fourth proportional to 13,510.40, 20,247.67 and 7,183.96 is: 10,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.40 : 20,247.67 = 7,183.96 : x
  2. Step 2: Convert to fraction form
    13,510.40/20,247.67 = 7,183.96/x
  3. Step 3: Cross multiply
    13,510.40x = 20,247.67 × 7,183.96
  4. Step 4: Simplify right side
    13,510.40x = 145,458,409.73
  5. Step 5: Solve for x
    x = 145,458,409.73/13,510.40
  6. Step 6: Final answer
    x = 10,766.41

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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.