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Finding the Fourth Proportional to 13,906.29, 20,864.75 and 8,363.55

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Solution

The fourth proportional to 13,906.29, 20,864.75 and 8,363.55 is: 12,548.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.29 : 20,864.75 = 8,363.55 : x
  2. Step 2: Convert to fraction form
    13,906.29/20,864.75 = 8,363.55/x
  3. Step 3: Cross multiply
    13,906.29x = 20,864.75 × 8,363.55
  4. Step 4: Simplify right side
    13,906.29x = 174,503,338.04
  5. Step 5: Solve for x
    x = 174,503,338.04/13,906.29
  6. Step 6: Final answer
    x = 12,548.52

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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.