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Finding the Fourth Proportional to 18,212.68, 27,313.62 and 7,822

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Solution

The fourth proportional to 18,212.68, 27,313.62 and 7,822 is: 11,730.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.68 : 27,313.62 = 7,822 : x
  2. Step 2: Convert to fraction form
    18,212.68/27,313.62 = 7,822/x
  3. Step 3: Cross multiply
    18,212.68x = 27,313.62 × 7,822
  4. Step 4: Simplify right side
    18,212.68x = 213,647,135.64
  5. Step 5: Solve for x
    x = 213,647,135.64/18,212.68
  6. Step 6: Final answer
    x = 11,730.68

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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.