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Finding the Fourth Proportional to 20,131.34, 30,198.83 and 6,804

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Solution

The fourth proportional to 20,131.34, 30,198.83 and 6,804 is: 10,206.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.34 : 30,198.83 = 6,804 : x
  2. Step 2: Convert to fraction form
    20,131.34/30,198.83 = 6,804/x
  3. Step 3: Cross multiply
    20,131.34x = 30,198.83 × 6,804
  4. Step 4: Simplify right side
    20,131.34x = 205,472,805.30
  5. Step 5: Solve for x
    x = 205,472,805.30/20,131.34
  6. Step 6: Final answer
    x = 10,206.62

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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.