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Finding the Fourth Proportional to 20,850.45, 31,275.51 and 8,361.54

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Solution

The fourth proportional to 20,850.45, 31,275.51 and 8,361.54 is: 12,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.45 : 31,275.51 = 8,361.54 : x
  2. Step 2: Convert to fraction form
    20,850.45/31,275.51 = 8,361.54/x
  3. Step 3: Cross multiply
    20,850.45x = 31,275.51 × 8,361.54
  4. Step 4: Simplify right side
    20,850.45x = 261,511,427.89
  5. Step 5: Solve for x
    x = 261,511,427.89/20,850.45
  6. Step 6: Final answer
    x = 12,542.24

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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.