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Finding the Fourth Proportional to 27,855.26, 41,772.42 and 11,209.64

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Solution

The fourth proportional to 27,855.26, 41,772.42 and 11,209.64 is: 16,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,855.26 : 41,772.42 = 11,209.64 : x
  2. Step 2: Convert to fraction form
    27,855.26/41,772.42 = 11,209.64/x
  3. Step 3: Cross multiply
    27,855.26x = 41,772.42 × 11,209.64
  4. Step 4: Simplify right side
    27,855.26x = 468,253,790.13
  5. Step 5: Solve for x
    x = 468,253,790.13/27,855.26
  6. Step 6: Final answer
    x = 16,810.25

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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.