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Finding the Fourth Proportional to 12,761.98, 19,142.97 and 3,997.58

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Solution

The fourth proportional to 12,761.98, 19,142.97 and 3,997.58 is: 5,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.98 : 19,142.97 = 3,997.58 : x
  2. Step 2: Convert to fraction form
    12,761.98/19,142.97 = 3,997.58/x
  3. Step 3: Cross multiply
    12,761.98x = 19,142.97 × 3,997.58
  4. Step 4: Simplify right side
    12,761.98x = 76,525,554.01
  5. Step 5: Solve for x
    x = 76,525,554.01/12,761.98
  6. Step 6: Final answer
    x = 5,996.37

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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.