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Finding the Fourth Proportional to 19,704.87, 29,571.50 and 7,851.78

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Solution

The fourth proportional to 19,704.87, 29,571.50 and 7,851.78 is: 11,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.87 : 29,571.50 = 7,851.78 : x
  2. Step 2: Convert to fraction form
    19,704.87/29,571.50 = 7,851.78/x
  3. Step 3: Cross multiply
    19,704.87x = 29,571.50 × 7,851.78
  4. Step 4: Simplify right side
    19,704.87x = 232,188,912.27
  5. Step 5: Solve for x
    x = 232,188,912.27/19,704.87
  6. Step 6: Final answer
    x = 11,783.33

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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.