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Finding the Fourth Proportional to 20,600.75, 30,882.80 and 7,450.20

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Solution

The fourth proportional to 20,600.75, 30,882.80 and 7,450.20 is: 11,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,600.75 : 30,882.80 = 7,450.20 : x
  2. Step 2: Convert to fraction form
    20,600.75/30,882.80 = 7,450.20/x
  3. Step 3: Cross multiply
    20,600.75x = 30,882.80 × 7,450.20
  4. Step 4: Simplify right side
    20,600.75x = 230,082,950.04
  5. Step 5: Solve for x
    x = 230,082,950.04/20,600.75
  6. Step 6: Final answer
    x = 11,168.67

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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.