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Finding the Fourth Proportional to 11,626.12, 17,438.53 and 6,820.22

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Solution

The fourth proportional to 11,626.12, 17,438.53 and 6,820.22 is: 10,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.12 : 17,438.53 = 6,820.22 : x
  2. Step 2: Convert to fraction form
    11,626.12/17,438.53 = 6,820.22/x
  3. Step 3: Cross multiply
    11,626.12x = 17,438.53 × 6,820.22
  4. Step 4: Simplify right side
    11,626.12x = 118,934,611.08
  5. Step 5: Solve for x
    x = 118,934,611.08/11,626.12
  6. Step 6: Final answer
    x = 10,229.95

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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.