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Finding the Fourth Proportional to 12,140.97, 18,213.89 and 3,822.27

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Solution

The fourth proportional to 12,140.97, 18,213.89 and 3,822.27 is: 5,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.97 : 18,213.89 = 3,822.27 : x
  2. Step 2: Convert to fraction form
    12,140.97/18,213.89 = 3,822.27/x
  3. Step 3: Cross multiply
    12,140.97x = 18,213.89 × 3,822.27
  4. Step 4: Simplify right side
    12,140.97x = 69,618,386.22
  5. Step 5: Solve for x
    x = 69,618,386.22/12,140.97
  6. Step 6: Final answer
    x = 5,734.17

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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.