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Finding the Fourth Proportional to 12,143.14, 18,204.89 and 5,118.62

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Solution

The fourth proportional to 12,143.14, 18,204.89 and 5,118.62 is: 7,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.14 : 18,204.89 = 5,118.62 : x
  2. Step 2: Convert to fraction form
    12,143.14/18,204.89 = 5,118.62/x
  3. Step 3: Cross multiply
    12,143.14x = 18,204.89 × 5,118.62
  4. Step 4: Simplify right side
    12,143.14x = 93,183,797.43
  5. Step 5: Solve for x
    x = 93,183,797.43/12,143.14
  6. Step 6: Final answer
    x = 7,673.78

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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.