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Finding the Fourth Proportional to 15,843.80, 23,765.64 and 3,997.60

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Solution

The fourth proportional to 15,843.80, 23,765.64 and 3,997.60 is: 5,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.80 : 23,765.64 = 3,997.60 : x
  2. Step 2: Convert to fraction form
    15,843.80/23,765.64 = 3,997.60/x
  3. Step 3: Cross multiply
    15,843.80x = 23,765.64 × 3,997.60
  4. Step 4: Simplify right side
    15,843.80x = 95,005,522.46
  5. Step 5: Solve for x
    x = 95,005,522.46/15,843.80
  6. Step 6: Final answer
    x = 5,996.38

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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.