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Finding the Fourth Proportional to 13,530.27, 20,344.77 and 12,447.71

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Solution

The fourth proportional to 13,530.27, 20,344.77 and 12,447.71 is: 18,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.27 : 20,344.77 = 12,447.71 : x
  2. Step 2: Convert to fraction form
    13,530.27/20,344.77 = 12,447.71/x
  3. Step 3: Cross multiply
    13,530.27x = 20,344.77 × 12,447.71
  4. Step 4: Simplify right side
    13,530.27x = 253,245,771.55
  5. Step 5: Solve for x
    x = 253,245,771.55/13,530.27
  6. Step 6: Final answer
    x = 18,716.97

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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.