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Finding the Fourth Proportional to 12,003.92, 17,997.14 and 5,676.56

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Solution

The fourth proportional to 12,003.92, 17,997.14 and 5,676.56 is: 8,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,003.92 : 17,997.14 = 5,676.56 : x
  2. Step 2: Convert to fraction form
    12,003.92/17,997.14 = 5,676.56/x
  3. Step 3: Cross multiply
    12,003.92x = 17,997.14 × 5,676.56
  4. Step 4: Simplify right side
    12,003.92x = 102,161,726.67
  5. Step 5: Solve for x
    x = 102,161,726.67/12,003.92
  6. Step 6: Final answer
    x = 8,510.70

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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.