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Finding the Fourth Proportional to 12,200.71, 18,292.79 and 3,878.23

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Solution

The fourth proportional to 12,200.71, 18,292.79 and 3,878.23 is: 5,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.71 : 18,292.79 = 3,878.23 : x
  2. Step 2: Convert to fraction form
    12,200.71/18,292.79 = 3,878.23/x
  3. Step 3: Cross multiply
    12,200.71x = 18,292.79 × 3,878.23
  4. Step 4: Simplify right side
    12,200.71x = 70,943,627.57
  5. Step 5: Solve for x
    x = 70,943,627.57/12,200.71
  6. Step 6: Final answer
    x = 5,814.71

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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.