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Finding the Fourth Proportional to 20,794, 31,181.28 and 6,933.28

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Solution

The fourth proportional to 20,794, 31,181.28 and 6,933.28 is: 10,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794 : 31,181.28 = 6,933.28 : x
  2. Step 2: Convert to fraction form
    20,794/31,181.28 = 6,933.28/x
  3. Step 3: Cross multiply
    20,794x = 31,181.28 × 6,933.28
  4. Step 4: Simplify right side
    20,794x = 216,188,545.00
  5. Step 5: Solve for x
    x = 216,188,545.00/20,794
  6. Step 6: Final answer
    x = 10,396.68

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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.