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Finding the Fourth Proportional to 13,613.68, 18,788.91 and 8,311.57

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Solution

The fourth proportional to 13,613.68, 18,788.91 and 8,311.57 is: 11,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.68 : 18,788.91 = 8,311.57 : x
  2. Step 2: Convert to fraction form
    13,613.68/18,788.91 = 8,311.57/x
  3. Step 3: Cross multiply
    13,613.68x = 18,788.91 × 8,311.57
  4. Step 4: Simplify right side
    13,613.68x = 156,165,340.69
  5. Step 5: Solve for x
    x = 156,165,340.69/13,613.68
  6. Step 6: Final answer
    x = 11,471.21

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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.