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Finding the Fourth Proportional to 12,105.37, 18,158.07 and 3,785.43

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Solution

The fourth proportional to 12,105.37, 18,158.07 and 3,785.43 is: 5,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.37 : 18,158.07 = 3,785.43 : x
  2. Step 2: Convert to fraction form
    12,105.37/18,158.07 = 3,785.43/x
  3. Step 3: Cross multiply
    12,105.37x = 18,158.07 × 3,785.43
  4. Step 4: Simplify right side
    12,105.37x = 68,736,000.06
  5. Step 5: Solve for x
    x = 68,736,000.06/12,105.37
  6. Step 6: Final answer
    x = 5,678.14

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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.