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Finding the Fourth Proportional to 18,142.92, 27,214.65 and 5,662.44

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Solution

The fourth proportional to 18,142.92, 27,214.65 and 5,662.44 is: 8,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.92 : 27,214.65 = 5,662.44 : x
  2. Step 2: Convert to fraction form
    18,142.92/27,214.65 = 5,662.44/x
  3. Step 3: Cross multiply
    18,142.92x = 27,214.65 × 5,662.44
  4. Step 4: Simplify right side
    18,142.92x = 154,101,322.75
  5. Step 5: Solve for x
    x = 154,101,322.75/18,142.92
  6. Step 6: Final answer
    x = 8,493.74

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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.