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Finding the Fourth Proportional to 27,891.81, 41,834.48 and 11,259.27

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Solution

The fourth proportional to 27,891.81, 41,834.48 and 11,259.27 is: 16,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.81 : 41,834.48 = 11,259.27 : x
  2. Step 2: Convert to fraction form
    27,891.81/41,834.48 = 11,259.27/x
  3. Step 3: Cross multiply
    27,891.81x = 41,834.48 × 11,259.27
  4. Step 4: Simplify right side
    27,891.81x = 471,025,649.33
  5. Step 5: Solve for x
    x = 471,025,649.33/27,891.81
  6. Step 6: Final answer
    x = 16,887.60

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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.