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Finding the Fourth Proportional to 23,795.77, 35,694.23 and 8,001

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Solution

The fourth proportional to 23,795.77, 35,694.23 and 8,001 is: 12,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,795.77 : 35,694.23 = 8,001 : x
  2. Step 2: Convert to fraction form
    23,795.77/35,694.23 = 8,001/x
  3. Step 3: Cross multiply
    23,795.77x = 35,694.23 × 8,001
  4. Step 4: Simplify right side
    23,795.77x = 285,589,494.23
  5. Step 5: Solve for x
    x = 285,589,494.23/23,795.77
  6. Step 6: Final answer
    x = 12,001.69

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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.