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Finding the Fourth Proportional to 13,722.96, 20,611.99 and 8,187.12

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Solution

The fourth proportional to 13,722.96, 20,611.99 and 8,187.12 is: 12,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.96 : 20,611.99 = 8,187.12 : x
  2. Step 2: Convert to fraction form
    13,722.96/20,611.99 = 8,187.12/x
  3. Step 3: Cross multiply
    13,722.96x = 20,611.99 × 8,187.12
  4. Step 4: Simplify right side
    13,722.96x = 168,752,732.51
  5. Step 5: Solve for x
    x = 168,752,732.51/13,722.96
  6. Step 6: Final answer
    x = 12,297.11

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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.