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Finding the Fourth Proportional to 20,874.70, 31,305.57 and 8,388.15

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Solution

The fourth proportional to 20,874.70, 31,305.57 and 8,388.15 is: 12,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.70 : 31,305.57 = 8,388.15 : x
  2. Step 2: Convert to fraction form
    20,874.70/31,305.57 = 8,388.15/x
  3. Step 3: Cross multiply
    20,874.70x = 31,305.57 × 8,388.15
  4. Step 4: Simplify right side
    20,874.70x = 262,595,817.00
  5. Step 5: Solve for x
    x = 262,595,817.00/20,874.70
  6. Step 6: Final answer
    x = 12,579.62

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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.