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Finding the Fourth Proportional to 20,238.21, 30,362.79 and 7,099.83

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Solution

The fourth proportional to 20,238.21, 30,362.79 and 7,099.83 is: 10,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.21 : 30,362.79 = 7,099.83 : x
  2. Step 2: Convert to fraction form
    20,238.21/30,362.79 = 7,099.83/x
  3. Step 3: Cross multiply
    20,238.21x = 30,362.79 × 7,099.83
  4. Step 4: Simplify right side
    20,238.21x = 215,570,647.33
  5. Step 5: Solve for x
    x = 215,570,647.33/20,238.21
  6. Step 6: Final answer
    x = 10,651.67

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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.