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Finding the Fourth Proportional to 18,668.30, 27,992.93 and 6,183.81

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Solution

The fourth proportional to 18,668.30, 27,992.93 and 6,183.81 is: 9,272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.30 : 27,992.93 = 6,183.81 : x
  2. Step 2: Convert to fraction form
    18,668.30/27,992.93 = 6,183.81/x
  3. Step 3: Cross multiply
    18,668.30x = 27,992.93 × 6,183.81
  4. Step 4: Simplify right side
    18,668.30x = 173,102,929.54
  5. Step 5: Solve for x
    x = 173,102,929.54/18,668.30
  6. Step 6: Final answer
    x = 9,272.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.