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Finding the Fourth Proportional to 20,974.30, 31,433.49 and 7,813.42

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Solution

The fourth proportional to 20,974.30, 31,433.49 and 7,813.42 is: 11,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,974.30 : 31,433.49 = 7,813.42 : x
  2. Step 2: Convert to fraction form
    20,974.30/31,433.49 = 7,813.42/x
  3. Step 3: Cross multiply
    20,974.30x = 31,433.49 × 7,813.42
  4. Step 4: Simplify right side
    20,974.30x = 245,603,059.44
  5. Step 5: Solve for x
    x = 245,603,059.44/20,974.30
  6. Step 6: Final answer
    x = 11,709.71

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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.