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Finding the Fourth Proportional to 27,906.64, 41,860.30 and 8,185.60

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Solution

The fourth proportional to 27,906.64, 41,860.30 and 8,185.60 is: 12,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.64 : 41,860.30 = 8,185.60 : x
  2. Step 2: Convert to fraction form
    27,906.64/41,860.30 = 8,185.60/x
  3. Step 3: Cross multiply
    27,906.64x = 41,860.30 × 8,185.60
  4. Step 4: Simplify right side
    27,906.64x = 342,651,671.68
  5. Step 5: Solve for x
    x = 342,651,671.68/27,906.64
  6. Step 6: Final answer
    x = 12,278.50

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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.