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Finding the Fourth Proportional to 22,732.78, 34,099.26 and 7,941.64

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Solution

The fourth proportional to 22,732.78, 34,099.26 and 7,941.64 is: 11,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,732.78 : 34,099.26 = 7,941.64 : x
  2. Step 2: Convert to fraction form
    22,732.78/34,099.26 = 7,941.64/x
  3. Step 3: Cross multiply
    22,732.78x = 34,099.26 × 7,941.64
  4. Step 4: Simplify right side
    22,732.78x = 270,804,047.19
  5. Step 5: Solve for x
    x = 270,804,047.19/22,732.78
  6. Step 6: Final answer
    x = 11,912.49

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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.