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Finding the Fourth Proportional to 20,197.76, 30,296.06 and 5,406.67

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Solution

The fourth proportional to 20,197.76, 30,296.06 and 5,406.67 is: 8,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.76 : 30,296.06 = 5,406.67 : x
  2. Step 2: Convert to fraction form
    20,197.76/30,296.06 = 5,406.67/x
  3. Step 3: Cross multiply
    20,197.76x = 30,296.06 × 5,406.67
  4. Step 4: Simplify right side
    20,197.76x = 163,800,912.19
  5. Step 5: Solve for x
    x = 163,800,912.19/20,197.76
  6. Step 6: Final answer
    x = 8,109.86

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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.