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Finding the Fourth Proportional to 12,226.44, 18,323.22 and 6,671.46

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Solution

The fourth proportional to 12,226.44, 18,323.22 and 6,671.46 is: 9,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.44 : 18,323.22 = 6,671.46 : x
  2. Step 2: Convert to fraction form
    12,226.44/18,323.22 = 6,671.46/x
  3. Step 3: Cross multiply
    12,226.44x = 18,323.22 × 6,671.46
  4. Step 4: Simplify right side
    12,226.44x = 122,242,629.30
  5. Step 5: Solve for x
    x = 122,242,629.30/12,226.44
  6. Step 6: Final answer
    x = 9,998.22

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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.