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Finding the Fourth Proportional to 13,186.80, 19,684.89 and 11,217.96

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Solution

The fourth proportional to 13,186.80, 19,684.89 and 11,217.96 is: 16,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.80 : 19,684.89 = 11,217.96 : x
  2. Step 2: Convert to fraction form
    13,186.80/19,684.89 = 11,217.96/x
  3. Step 3: Cross multiply
    13,186.80x = 19,684.89 × 11,217.96
  4. Step 4: Simplify right side
    13,186.80x = 220,824,308.62
  5. Step 5: Solve for x
    x = 220,824,308.62/13,186.80
  6. Step 6: Final answer
    x = 16,745.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.