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Finding the Fourth Proportional to 13,906.36, 20,861.82 and 6,886.66

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Solution

The fourth proportional to 13,906.36, 20,861.82 and 6,886.66 is: 10,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.36 : 20,861.82 = 6,886.66 : x
  2. Step 2: Convert to fraction form
    13,906.36/20,861.82 = 6,886.66/x
  3. Step 3: Cross multiply
    13,906.36x = 20,861.82 × 6,886.66
  4. Step 4: Simplify right side
    13,906.36x = 143,668,189.89
  5. Step 5: Solve for x
    x = 143,668,189.89/13,906.36
  6. Step 6: Final answer
    x = 10,331.12

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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.