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Finding the Fourth Proportional to 13,939.53, 20,906.46 and 11,614.56

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Solution

The fourth proportional to 13,939.53, 20,906.46 and 11,614.56 is: 17,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.53 : 20,906.46 = 11,614.56 : x
  2. Step 2: Convert to fraction form
    13,939.53/20,906.46 = 11,614.56/x
  3. Step 3: Cross multiply
    13,939.53x = 20,906.46 × 11,614.56
  4. Step 4: Simplify right side
    13,939.53x = 242,819,334.06
  5. Step 5: Solve for x
    x = 242,819,334.06/13,939.53
  6. Step 6: Final answer
    x = 17,419.48

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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.