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Finding the Fourth Proportional to 20,761.46, 31,142.12 and 8,907.54

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Solution

The fourth proportional to 20,761.46, 31,142.12 and 8,907.54 is: 13,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.46 : 31,142.12 = 8,907.54 : x
  2. Step 2: Convert to fraction form
    20,761.46/31,142.12 = 8,907.54/x
  3. Step 3: Cross multiply
    20,761.46x = 31,142.12 × 8,907.54
  4. Step 4: Simplify right side
    20,761.46x = 277,399,635.05
  5. Step 5: Solve for x
    x = 277,399,635.05/20,761.46
  6. Step 6: Final answer
    x = 13,361.28

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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.