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Finding the Fourth Proportional to 27,469.68, 41,180.22 and 13,421.85

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Solution

The fourth proportional to 27,469.68, 41,180.22 and 13,421.85 is: 20,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.68 : 41,180.22 = 13,421.85 : x
  2. Step 2: Convert to fraction form
    27,469.68/41,180.22 = 13,421.85/x
  3. Step 3: Cross multiply
    27,469.68x = 41,180.22 × 13,421.85
  4. Step 4: Simplify right side
    27,469.68x = 552,714,735.81
  5. Step 5: Solve for x
    x = 552,714,735.81/27,469.68
  6. Step 6: Final answer
    x = 20,120.90

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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.