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Finding the Fourth Proportional to 27,940.68, 41,919.68 and 9,684.73

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Solution

The fourth proportional to 27,940.68, 41,919.68 and 9,684.73 is: 14,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,940.68 : 41,919.68 = 9,684.73 : x
  2. Step 2: Convert to fraction form
    27,940.68/41,919.68 = 9,684.73/x
  3. Step 3: Cross multiply
    27,940.68x = 41,919.68 × 9,684.73
  4. Step 4: Simplify right side
    27,940.68x = 405,980,804.62
  5. Step 5: Solve for x
    x = 405,980,804.62/27,940.68
  6. Step 6: Final answer
    x = 14,530.10

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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.