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Finding the Fourth Proportional to 13,723.96, 20,613.49 and 8,188.12

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Solution

The fourth proportional to 13,723.96, 20,613.49 and 8,188.12 is: 12,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.96 : 20,613.49 = 8,188.12 : x
  2. Step 2: Convert to fraction form
    13,723.96/20,613.49 = 8,188.12/x
  3. Step 3: Cross multiply
    13,723.96x = 20,613.49 × 8,188.12
  4. Step 4: Simplify right side
    13,723.96x = 168,785,729.74
  5. Step 5: Solve for x
    x = 168,785,729.74/13,723.96
  6. Step 6: Final answer
    x = 12,298.62

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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.