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Finding the Fourth Proportional to 23,786.92, 35,680.96 and 7,992.50

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Solution

The fourth proportional to 23,786.92, 35,680.96 and 7,992.50 is: 11,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.92 : 35,680.96 = 7,992.50 : x
  2. Step 2: Convert to fraction form
    23,786.92/35,680.96 = 7,992.50/x
  3. Step 3: Cross multiply
    23,786.92x = 35,680.96 × 7,992.50
  4. Step 4: Simplify right side
    23,786.92x = 285,179,959.78
  5. Step 5: Solve for x
    x = 285,179,959.78/23,786.92
  6. Step 6: Final answer
    x = 11,988.94

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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.