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Finding the Fourth Proportional to 18,142.85, 27,214.46 and 11,942.21

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Solution

The fourth proportional to 18,142.85, 27,214.46 and 11,942.21 is: 17,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.85 : 27,214.46 = 11,942.21 : x
  2. Step 2: Convert to fraction form
    18,142.85/27,214.46 = 11,942.21/x
  3. Step 3: Cross multiply
    18,142.85x = 27,214.46 × 11,942.21
  4. Step 4: Simplify right side
    18,142.85x = 325,000,796.36
  5. Step 5: Solve for x
    x = 325,000,796.36/18,142.85
  6. Step 6: Final answer
    x = 17,913.44

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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.