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Finding the Fourth Proportional to 13,613.56, 18,788.74 and 8,311.44

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Solution

The fourth proportional to 13,613.56, 18,788.74 and 8,311.44 is: 11,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.56 : 18,788.74 = 8,311.44 : x
  2. Step 2: Convert to fraction form
    13,613.56/18,788.74 = 8,311.44/x
  3. Step 3: Cross multiply
    13,613.56x = 18,788.74 × 8,311.44
  4. Step 4: Simplify right side
    13,613.56x = 156,161,485.19
  5. Step 5: Solve for x
    x = 156,161,485.19/13,613.56
  6. Step 6: Final answer
    x = 11,471.02

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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.