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Finding the Fourth Proportional to 16,198.55, 24,301.22 and 9,181.92

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Solution

The fourth proportional to 16,198.55, 24,301.22 and 9,181.92 is: 13,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.55 : 24,301.22 = 9,181.92 : x
  2. Step 2: Convert to fraction form
    16,198.55/24,301.22 = 9,181.92/x
  3. Step 3: Cross multiply
    16,198.55x = 24,301.22 × 9,181.92
  4. Step 4: Simplify right side
    16,198.55x = 223,131,812.03
  5. Step 5: Solve for x
    x = 223,131,812.03/16,198.55
  6. Step 6: Final answer
    x = 13,774.81

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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.