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Finding the Fourth Proportional to 12,181.01, 18,271.38 and 3,861.02

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Solution

The fourth proportional to 12,181.01, 18,271.38 and 3,861.02 is: 5,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.01 : 18,271.38 = 3,861.02 : x
  2. Step 2: Convert to fraction form
    12,181.01/18,271.38 = 3,861.02/x
  3. Step 3: Cross multiply
    12,181.01x = 18,271.38 × 3,861.02
  4. Step 4: Simplify right side
    12,181.01x = 70,546,163.61
  5. Step 5: Solve for x
    x = 70,546,163.61/12,181.01
  6. Step 6: Final answer
    x = 5,791.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.