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Finding the Fourth Proportional to 13,816.12, 20,713 and 4,323.55

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Solution

The fourth proportional to 13,816.12, 20,713 and 4,323.55 is: 6,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.12 : 20,713 = 4,323.55 : x
  2. Step 2: Convert to fraction form
    13,816.12/20,713 = 4,323.55/x
  3. Step 3: Cross multiply
    13,816.12x = 20,713 × 4,323.55
  4. Step 4: Simplify right side
    13,816.12x = 89,553,691.15
  5. Step 5: Solve for x
    x = 89,553,691.15/13,816.12
  6. Step 6: Final answer
    x = 6,481.83

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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.