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Finding the Fourth Proportional to 13,193.82, 18,195.84 and 8,157.24

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Solution

The fourth proportional to 13,193.82, 18,195.84 and 8,157.24 is: 11,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.82 : 18,195.84 = 8,157.24 : x
  2. Step 2: Convert to fraction form
    13,193.82/18,195.84 = 8,157.24/x
  3. Step 3: Cross multiply
    13,193.82x = 18,195.84 × 8,157.24
  4. Step 4: Simplify right side
    13,193.82x = 148,427,833.88
  5. Step 5: Solve for x
    x = 148,427,833.88/13,193.82
  6. Step 6: Final answer
    x = 11,249.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.