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Finding the Fourth Proportional to 13,816.11, 20,727.11 and 4,456.65

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Solution

The fourth proportional to 13,816.11, 20,727.11 and 4,456.65 is: 6,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.11 : 20,727.11 = 4,456.65 : x
  2. Step 2: Convert to fraction form
    13,816.11/20,727.11 = 4,456.65/x
  3. Step 3: Cross multiply
    13,816.11x = 20,727.11 × 4,456.65
  4. Step 4: Simplify right side
    13,816.11x = 92,373,474.78
  5. Step 5: Solve for x
    x = 92,373,474.78/13,816.11
  6. Step 6: Final answer
    x = 6,685.92

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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.