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Finding the Fourth Proportional to 15,843.71, 23,765.50 and 3,997.51

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Solution

The fourth proportional to 15,843.71, 23,765.50 and 3,997.51 is: 5,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.71 : 23,765.50 = 3,997.51 : x
  2. Step 2: Convert to fraction form
    15,843.71/23,765.50 = 3,997.51/x
  3. Step 3: Cross multiply
    15,843.71x = 23,765.50 × 3,997.51
  4. Step 4: Simplify right side
    15,843.71x = 95,002,823.91
  5. Step 5: Solve for x
    x = 95,002,823.91/15,843.71
  6. Step 6: Final answer
    x = 5,996.25

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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.