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Finding the Fourth Proportional to 23,737.68, 35,611.36 and 7,940.80

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Solution

The fourth proportional to 23,737.68, 35,611.36 and 7,940.80 is: 11,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.68 : 35,611.36 = 7,940.80 : x
  2. Step 2: Convert to fraction form
    23,737.68/35,611.36 = 7,940.80/x
  3. Step 3: Cross multiply
    23,737.68x = 35,611.36 × 7,940.80
  4. Step 4: Simplify right side
    23,737.68x = 282,782,687.49
  5. Step 5: Solve for x
    x = 282,782,687.49/23,737.68
  6. Step 6: Final answer
    x = 11,912.82

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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.