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Finding the Fourth Proportional to 12,200, 16,836 and 6,611.04

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Solution

The fourth proportional to 12,200, 16,836 and 6,611.04 is: 9,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200 : 16,836 = 6,611.04 : x
  2. Step 2: Convert to fraction form
    12,200/16,836 = 6,611.04/x
  3. Step 3: Cross multiply
    12,200x = 16,836 × 6,611.04
  4. Step 4: Simplify right side
    12,200x = 111,303,469.44
  5. Step 5: Solve for x
    x = 111,303,469.44/12,200
  6. Step 6: Final answer
    x = 9,123.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.