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Finding the Fourth Proportional to 20,874.82, 31,313.66 and 8,394.85

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Solution

The fourth proportional to 20,874.82, 31,313.66 and 8,394.85 is: 12,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.82 : 31,313.66 = 8,394.85 : x
  2. Step 2: Convert to fraction form
    20,874.82/31,313.66 = 8,394.85/x
  3. Step 3: Cross multiply
    20,874.82x = 31,313.66 × 8,394.85
  4. Step 4: Simplify right side
    20,874.82x = 262,873,478.65
  5. Step 5: Solve for x
    x = 262,873,478.65/20,874.82
  6. Step 6: Final answer
    x = 12,592.85

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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.