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Finding the Fourth Proportional to 27,906.69, 41,860.37 and 8,185.64

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Solution

The fourth proportional to 27,906.69, 41,860.37 and 8,185.64 is: 12,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.69 : 41,860.37 = 8,185.64 : x
  2. Step 2: Convert to fraction form
    27,906.69/41,860.37 = 8,185.64/x
  3. Step 3: Cross multiply
    27,906.69x = 41,860.37 × 8,185.64
  4. Step 4: Simplify right side
    27,906.69x = 342,653,668.86
  5. Step 5: Solve for x
    x = 342,653,668.86/27,906.69
  6. Step 6: Final answer
    x = 12,278.55

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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.