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Finding the Fourth Proportional to 13,496.96, 20,213.76 and 6,906.56

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Solution

The fourth proportional to 13,496.96, 20,213.76 and 6,906.56 is: 10,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.96 : 20,213.76 = 6,906.56 : x
  2. Step 2: Convert to fraction form
    13,496.96/20,213.76 = 6,906.56/x
  3. Step 3: Cross multiply
    13,496.96x = 20,213.76 × 6,906.56
  4. Step 4: Simplify right side
    13,496.96x = 139,607,546.27
  5. Step 5: Solve for x
    x = 139,607,546.27/13,496.96
  6. Step 6: Final answer
    x = 10,343.63

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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.