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Finding the Fourth Proportional to 12,161.01, 18,242.55 and 3,838.80

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Solution

The fourth proportional to 12,161.01, 18,242.55 and 3,838.80 is: 5,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.01 : 18,242.55 = 3,838.80 : x
  2. Step 2: Convert to fraction form
    12,161.01/18,242.55 = 3,838.80/x
  3. Step 3: Cross multiply
    12,161.01x = 18,242.55 × 3,838.80
  4. Step 4: Simplify right side
    12,161.01x = 70,029,500.94
  5. Step 5: Solve for x
    x = 70,029,500.94/12,161.01
  6. Step 6: Final answer
    x = 5,758.53

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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.