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Finding the Fourth Proportional to 12,018.57, 18,027.85 and 6,857.25

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Solution

The fourth proportional to 12,018.57, 18,027.85 and 6,857.25 is: 10,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.57 : 18,027.85 = 6,857.25 : x
  2. Step 2: Convert to fraction form
    12,018.57/18,027.85 = 6,857.25/x
  3. Step 3: Cross multiply
    12,018.57x = 18,027.85 × 6,857.25
  4. Step 4: Simplify right side
    12,018.57x = 123,621,474.41
  5. Step 5: Solve for x
    x = 123,621,474.41/12,018.57
  6. Step 6: Final answer
    x = 10,285.87

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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.