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Finding the Fourth Proportional to 23,936.22, 35,896.41 and 7,294.14

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Solution

The fourth proportional to 23,936.22, 35,896.41 and 7,294.14 is: 10,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936.22 : 35,896.41 = 7,294.14 : x
  2. Step 2: Convert to fraction form
    23,936.22/35,896.41 = 7,294.14/x
  3. Step 3: Cross multiply
    23,936.22x = 35,896.41 × 7,294.14
  4. Step 4: Simplify right side
    23,936.22x = 261,833,440.04
  5. Step 5: Solve for x
    x = 261,833,440.04/23,936.22
  6. Step 6: Final answer
    x = 10,938.80

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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.