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Finding the Fourth Proportional to 12,119.65, 18,179.49 and 10,471.21

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Solution

The fourth proportional to 12,119.65, 18,179.49 and 10,471.21 is: 15,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.65 : 18,179.49 = 10,471.21 : x
  2. Step 2: Convert to fraction form
    12,119.65/18,179.49 = 10,471.21/x
  3. Step 3: Cross multiply
    12,119.65x = 18,179.49 × 10,471.21
  4. Step 4: Simplify right side
    12,119.65x = 190,361,257.48
  5. Step 5: Solve for x
    x = 190,361,257.48/12,119.65
  6. Step 6: Final answer
    x = 15,706.83

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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.