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Finding the Fourth Proportional to 27,544.83, 41,311.76 and 13,498.80

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Solution

The fourth proportional to 27,544.83, 41,311.76 and 13,498.80 is: 20,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.83 : 41,311.76 = 13,498.80 : x
  2. Step 2: Convert to fraction form
    27,544.83/41,311.76 = 13,498.80/x
  3. Step 3: Cross multiply
    27,544.83x = 41,311.76 × 13,498.80
  4. Step 4: Simplify right side
    27,544.83x = 557,659,118.39
  5. Step 5: Solve for x
    x = 557,659,118.39/27,544.83
  6. Step 6: Final answer
    x = 20,245.51

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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.