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Finding the Fourth Proportional to 23,481.84, 35,227.98 and 7,899

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Solution

The fourth proportional to 23,481.84, 35,227.98 and 7,899 is: 11,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.84 : 35,227.98 = 7,899 : x
  2. Step 2: Convert to fraction form
    23,481.84/35,227.98 = 7,899/x
  3. Step 3: Cross multiply
    23,481.84x = 35,227.98 × 7,899
  4. Step 4: Simplify right side
    23,481.84x = 278,265,814.02
  5. Step 5: Solve for x
    x = 278,265,814.02/23,481.84
  6. Step 6: Final answer
    x = 11,850.26

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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.