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Finding the Fourth Proportional to 13,863.54, 20,744.19 and 8,320.26

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Solution

The fourth proportional to 13,863.54, 20,744.19 and 8,320.26 is: 12,449.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.54 : 20,744.19 = 8,320.26 : x
  2. Step 2: Convert to fraction form
    13,863.54/20,744.19 = 8,320.26/x
  3. Step 3: Cross multiply
    13,863.54x = 20,744.19 × 8,320.26
  4. Step 4: Simplify right side
    13,863.54x = 172,597,054.29
  5. Step 5: Solve for x
    x = 172,597,054.29/13,863.54
  6. Step 6: Final answer
    x = 12,449.71

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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.