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Finding the Fourth Proportional to 27,745.63, 41,622.39 and 9,019.64

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Solution

The fourth proportional to 27,745.63, 41,622.39 and 9,019.64 is: 13,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.63 : 41,622.39 = 9,019.64 : x
  2. Step 2: Convert to fraction form
    27,745.63/41,622.39 = 9,019.64/x
  3. Step 3: Cross multiply
    27,745.63x = 41,622.39 × 9,019.64
  4. Step 4: Simplify right side
    27,745.63x = 375,419,077.80
  5. Step 5: Solve for x
    x = 375,419,077.80/27,745.63
  6. Step 6: Final answer
    x = 13,530.75

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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.