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Finding the Fourth Proportional to 12,161.88, 18,241.85 and 3,842.15

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Solution

The fourth proportional to 12,161.88, 18,241.85 and 3,842.15 is: 5,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.88 : 18,241.85 = 3,842.15 : x
  2. Step 2: Convert to fraction form
    12,161.88/18,241.85 = 3,842.15/x
  3. Step 3: Cross multiply
    12,161.88x = 18,241.85 × 3,842.15
  4. Step 4: Simplify right side
    12,161.88x = 70,087,813.56
  5. Step 5: Solve for x
    x = 70,087,813.56/12,161.88
  6. Step 6: Final answer
    x = 5,762.91

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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.