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Finding the Fourth Proportional to 27,665.42, 41,504.27 and 7,942.46

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Solution

The fourth proportional to 27,665.42, 41,504.27 and 7,942.46 is: 11,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.42 : 41,504.27 = 7,942.46 : x
  2. Step 2: Convert to fraction form
    27,665.42/41,504.27 = 7,942.46/x
  3. Step 3: Cross multiply
    27,665.42x = 41,504.27 × 7,942.46
  4. Step 4: Simplify right side
    27,665.42x = 329,645,757.07
  5. Step 5: Solve for x
    x = 329,645,757.07/27,665.42
  6. Step 6: Final answer
    x = 11,915.45

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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.