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Finding the Fourth Proportional to 23,792.92, 35,682.44 and 7,996.16

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Solution

The fourth proportional to 23,792.92, 35,682.44 and 7,996.16 is: 11,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.92 : 35,682.44 = 7,996.16 : x
  2. Step 2: Convert to fraction form
    23,792.92/35,682.44 = 7,996.16/x
  3. Step 3: Cross multiply
    23,792.92x = 35,682.44 × 7,996.16
  4. Step 4: Simplify right side
    23,792.92x = 285,322,548.66
  5. Step 5: Solve for x
    x = 285,322,548.66/23,792.92
  6. Step 6: Final answer
    x = 11,991.91

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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.