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Finding the Fourth Proportional to 23,771.46, 32,806.81 and 13,161.09

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Solution

The fourth proportional to 23,771.46, 32,806.81 and 13,161.09 is: 18,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.46 : 32,806.81 = 13,161.09 : x
  2. Step 2: Convert to fraction form
    23,771.46/32,806.81 = 13,161.09/x
  3. Step 3: Cross multiply
    23,771.46x = 32,806.81 × 13,161.09
  4. Step 4: Simplify right side
    23,771.46x = 431,773,379.02
  5. Step 5: Solve for x
    x = 431,773,379.02/23,771.46
  6. Step 6: Final answer
    x = 18,163.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.