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Finding the Fourth Proportional to 12,161.58, 18,241.70 and 3,728.07

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Solution

The fourth proportional to 12,161.58, 18,241.70 and 3,728.07 is: 5,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.58 : 18,241.70 = 3,728.07 : x
  2. Step 2: Convert to fraction form
    12,161.58/18,241.70 = 3,728.07/x
  3. Step 3: Cross multiply
    12,161.58x = 18,241.70 × 3,728.07
  4. Step 4: Simplify right side
    12,161.58x = 68,006,343.84
  5. Step 5: Solve for x
    x = 68,006,343.84/12,161.58
  6. Step 6: Final answer
    x = 5,591.90

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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.