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Finding the Fourth Proportional to 12,201.96, 18,324.54 and 11,225.96

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Solution

The fourth proportional to 12,201.96, 18,324.54 and 11,225.96 is: 16,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.96 : 18,324.54 = 11,225.96 : x
  2. Step 2: Convert to fraction form
    12,201.96/18,324.54 = 11,225.96/x
  3. Step 3: Cross multiply
    12,201.96x = 18,324.54 × 11,225.96
  4. Step 4: Simplify right side
    12,201.96x = 205,710,553.06
  5. Step 5: Solve for x
    x = 205,710,553.06/12,201.96
  6. Step 6: Final answer
    x = 16,858.81

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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.