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Finding the Fourth Proportional to 20,162.12, 30,239.94 and 6,311.12

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Solution

The fourth proportional to 20,162.12, 30,239.94 and 6,311.12 is: 9,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.12 : 30,239.94 = 6,311.12 : x
  2. Step 2: Convert to fraction form
    20,162.12/30,239.94 = 6,311.12/x
  3. Step 3: Cross multiply
    20,162.12x = 30,239.94 × 6,311.12
  4. Step 4: Simplify right side
    20,162.12x = 190,847,890.13
  5. Step 5: Solve for x
    x = 190,847,890.13/20,162.12
  6. Step 6: Final answer
    x = 9,465.67

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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.