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Finding the Fourth Proportional to 27,406.87, 41,105.69 and 9,650.71

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Solution

The fourth proportional to 27,406.87, 41,105.69 and 9,650.71 is: 14,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.87 : 41,105.69 = 9,650.71 : x
  2. Step 2: Convert to fraction form
    27,406.87/41,105.69 = 9,650.71/x
  3. Step 3: Cross multiply
    27,406.87x = 41,105.69 × 9,650.71
  4. Step 4: Simplify right side
    27,406.87x = 396,698,973.02
  5. Step 5: Solve for x
    x = 396,698,973.02/27,406.87
  6. Step 6: Final answer
    x = 14,474.44

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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.