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Finding the Fourth Proportional to 20,634.90, 30,950.42 and 5,843.48

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Solution

The fourth proportional to 20,634.90, 30,950.42 and 5,843.48 is: 8,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.90 : 30,950.42 = 5,843.48 : x
  2. Step 2: Convert to fraction form
    20,634.90/30,950.42 = 5,843.48/x
  3. Step 3: Cross multiply
    20,634.90x = 30,950.42 × 5,843.48
  4. Step 4: Simplify right side
    20,634.90x = 180,858,160.26
  5. Step 5: Solve for x
    x = 180,858,160.26/20,634.90
  6. Step 6: Final answer
    x = 8,764.67

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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.