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Finding the Fourth Proportional to 27,825, 41,739.40 and 11,185.04

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Solution

The fourth proportional to 27,825, 41,739.40 and 11,185.04 is: 16,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 41,739.40 = 11,185.04 : x
  2. Step 2: Convert to fraction form
    27,825/41,739.40 = 11,185.04/x
  3. Step 3: Cross multiply
    27,825x = 41,739.40 × 11,185.04
  4. Step 4: Simplify right side
    27,825x = 466,856,858.58
  5. Step 5: Solve for x
    x = 466,856,858.58/27,825
  6. Step 6: Final answer
    x = 16,778.32

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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.