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Finding the Fourth Proportional to 13,500.09, 20,243.20 and 6,100.54

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Solution

The fourth proportional to 13,500.09, 20,243.20 and 6,100.54 is: 9,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.09 : 20,243.20 = 6,100.54 : x
  2. Step 2: Convert to fraction form
    13,500.09/20,243.20 = 6,100.54/x
  3. Step 3: Cross multiply
    13,500.09x = 20,243.20 × 6,100.54
  4. Step 4: Simplify right side
    13,500.09x = 123,494,451.33
  5. Step 5: Solve for x
    x = 123,494,451.33/13,500.09
  6. Step 6: Final answer
    x = 9,147.68

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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.