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Finding the Fourth Proportional to 12,221.48, 18,331.89 and 3,902.01

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Solution

The fourth proportional to 12,221.48, 18,331.89 and 3,902.01 is: 5,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.48 : 18,331.89 = 3,902.01 : x
  2. Step 2: Convert to fraction form
    12,221.48/18,331.89 = 3,902.01/x
  3. Step 3: Cross multiply
    12,221.48x = 18,331.89 × 3,902.01
  4. Step 4: Simplify right side
    12,221.48x = 71,531,134.72
  5. Step 5: Solve for x
    x = 71,531,134.72/12,221.48
  6. Step 6: Final answer
    x = 5,852.90

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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.