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Finding the Fourth Proportional to 13,633.87, 20,448.78 and 8,737.75

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Solution

The fourth proportional to 13,633.87, 20,448.78 and 8,737.75 is: 13,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.87 : 20,448.78 = 8,737.75 : x
  2. Step 2: Convert to fraction form
    13,633.87/20,448.78 = 8,737.75/x
  3. Step 3: Cross multiply
    13,633.87x = 20,448.78 × 8,737.75
  4. Step 4: Simplify right side
    13,633.87x = 178,676,327.45
  5. Step 5: Solve for x
    x = 178,676,327.45/13,633.87
  6. Step 6: Final answer
    x = 13,105.33

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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.