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Finding the Fourth Proportional to 12,166.22, 18,243.65 and 6,321.26

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Solution

The fourth proportional to 12,166.22, 18,243.65 and 6,321.26 is: 9,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.22 : 18,243.65 = 6,321.26 : x
  2. Step 2: Convert to fraction form
    12,166.22/18,243.65 = 6,321.26/x
  3. Step 3: Cross multiply
    12,166.22x = 18,243.65 × 6,321.26
  4. Step 4: Simplify right side
    12,166.22x = 115,322,732.17
  5. Step 5: Solve for x
    x = 115,322,732.17/12,166.22
  6. Step 6: Final answer
    x = 9,478.93

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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.