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Finding the Fourth Proportional to 19,728.50, 27,224.22 and 11,232.70

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Solution

The fourth proportional to 19,728.50, 27,224.22 and 11,232.70 is: 15,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.50 : 27,224.22 = 11,232.70 : x
  2. Step 2: Convert to fraction form
    19,728.50/27,224.22 = 11,232.70/x
  3. Step 3: Cross multiply
    19,728.50x = 27,224.22 × 11,232.70
  4. Step 4: Simplify right side
    19,728.50x = 305,801,359.87
  5. Step 5: Solve for x
    x = 305,801,359.87/19,728.50
  6. Step 6: Final answer
    x = 15,500.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.