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Finding the Fourth Proportional to 13,724.33, 20,614.05 and 8,188.48

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Solution

The fourth proportional to 13,724.33, 20,614.05 and 8,188.48 is: 12,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.33 : 20,614.05 = 8,188.48 : x
  2. Step 2: Convert to fraction form
    13,724.33/20,614.05 = 8,188.48/x
  3. Step 3: Cross multiply
    13,724.33x = 20,614.05 × 8,188.48
  4. Step 4: Simplify right side
    13,724.33x = 168,797,736.14
  5. Step 5: Solve for x
    x = 168,797,736.14/13,724.33
  6. Step 6: Final answer
    x = 12,299.16

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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.