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Finding the Fourth Proportional to 20,540.93, 30,771.41 and 13,499.70

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Solution

The fourth proportional to 20,540.93, 30,771.41 and 13,499.70 is: 20,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.93 : 30,771.41 = 13,499.70 : x
  2. Step 2: Convert to fraction form
    20,540.93/30,771.41 = 13,499.70/x
  3. Step 3: Cross multiply
    20,540.93x = 30,771.41 × 13,499.70
  4. Step 4: Simplify right side
    20,540.93x = 415,404,620.69
  5. Step 5: Solve for x
    x = 415,404,620.69/20,540.93
  6. Step 6: Final answer
    x = 20,223.27

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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.