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Finding the Fourth Proportional to 23,549.38, 35,324.07 and 7,962.82

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Solution

The fourth proportional to 23,549.38, 35,324.07 and 7,962.82 is: 11,944.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.38 : 35,324.07 = 7,962.82 : x
  2. Step 2: Convert to fraction form
    23,549.38/35,324.07 = 7,962.82/x
  3. Step 3: Cross multiply
    23,549.38x = 35,324.07 × 7,962.82
  4. Step 4: Simplify right side
    23,549.38x = 281,279,211.08
  5. Step 5: Solve for x
    x = 281,279,211.08/23,549.38
  6. Step 6: Final answer
    x = 11,944.23

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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.