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Finding the Fourth Proportional to 20,843.56, 31,238.22 and 15,895

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Solution

The fourth proportional to 20,843.56, 31,238.22 and 15,895 is: 23,821.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.56 : 31,238.22 = 15,895 : x
  2. Step 2: Convert to fraction form
    20,843.56/31,238.22 = 15,895/x
  3. Step 3: Cross multiply
    20,843.56x = 31,238.22 × 15,895
  4. Step 4: Simplify right side
    20,843.56x = 496,531,506.90
  5. Step 5: Solve for x
    x = 496,531,506.90/20,843.56
  6. Step 6: Final answer
    x = 23,821.82

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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.