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Finding the Fourth Proportional to 13,471.18, 20,197.37 and 5,970.67

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Solution

The fourth proportional to 13,471.18, 20,197.37 and 5,970.67 is: 8,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.18 : 20,197.37 = 5,970.67 : x
  2. Step 2: Convert to fraction form
    13,471.18/20,197.37 = 5,970.67/x
  3. Step 3: Cross multiply
    13,471.18x = 20,197.37 × 5,970.67
  4. Step 4: Simplify right side
    13,471.18x = 120,591,795.57
  5. Step 5: Solve for x
    x = 120,591,795.57/13,471.18
  6. Step 6: Final answer
    x = 8,951.84

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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.