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Finding the Fourth Proportional to 21,241.44, 31,854.87 and 8,097.66

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Solution

The fourth proportional to 21,241.44, 31,854.87 and 8,097.66 is: 12,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.44 : 31,854.87 = 8,097.66 : x
  2. Step 2: Convert to fraction form
    21,241.44/31,854.87 = 8,097.66/x
  3. Step 3: Cross multiply
    21,241.44x = 31,854.87 × 8,097.66
  4. Step 4: Simplify right side
    21,241.44x = 257,949,906.60
  5. Step 5: Solve for x
    x = 257,949,906.60/21,241.44
  6. Step 6: Final answer
    x = 12,143.71

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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.