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Finding the Fourth Proportional to 13,906.14, 20,852.70 and 8,064.42

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Solution

The fourth proportional to 13,906.14, 20,852.70 and 8,064.42 is: 12,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.14 : 20,852.70 = 8,064.42 : x
  2. Step 2: Convert to fraction form
    13,906.14/20,852.70 = 8,064.42/x
  3. Step 3: Cross multiply
    13,906.14x = 20,852.70 × 8,064.42
  4. Step 4: Simplify right side
    13,906.14x = 168,164,930.93
  5. Step 5: Solve for x
    x = 168,164,930.93/13,906.14
  6. Step 6: Final answer
    x = 12,092.85

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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.