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Finding the Fourth Proportional to 12,997.56, 17,937.66 and 7,408.44

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Solution

The fourth proportional to 12,997.56, 17,937.66 and 7,408.44 is: 10,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.56 : 17,937.66 = 7,408.44 : x
  2. Step 2: Convert to fraction form
    12,997.56/17,937.66 = 7,408.44/x
  3. Step 3: Cross multiply
    12,997.56x = 17,937.66 × 7,408.44
  4. Step 4: Simplify right side
    12,997.56x = 132,890,077.85
  5. Step 5: Solve for x
    x = 132,890,077.85/12,997.56
  6. Step 6: Final answer
    x = 10,224.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.