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Finding the Fourth Proportional to 13,863.57, 20,789.82 and 8,024.28

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Solution

The fourth proportional to 13,863.57, 20,789.82 and 8,024.28 is: 12,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.57 : 20,789.82 = 8,024.28 : x
  2. Step 2: Convert to fraction form
    13,863.57/20,789.82 = 8,024.28/x
  3. Step 3: Cross multiply
    13,863.57x = 20,789.82 × 8,024.28
  4. Step 4: Simplify right side
    13,863.57x = 166,823,336.83
  5. Step 5: Solve for x
    x = 166,823,336.83/13,863.57
  6. Step 6: Final answer
    x = 12,033.22

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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.