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Finding the Fourth Proportional to 12,027.70, 18,029.24 and 6,093.59

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Solution

The fourth proportional to 12,027.70, 18,029.24 and 6,093.59 is: 9,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.70 : 18,029.24 = 6,093.59 : x
  2. Step 2: Convert to fraction form
    12,027.70/18,029.24 = 6,093.59/x
  3. Step 3: Cross multiply
    12,027.70x = 18,029.24 × 6,093.59
  4. Step 4: Simplify right side
    12,027.70x = 109,862,706.43
  5. Step 5: Solve for x
    x = 109,862,706.43/12,027.70
  6. Step 6: Final answer
    x = 9,134.14

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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.