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Finding the Fourth Proportional to 13,617.42, 18,793.80 and 7,649.09

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Solution

The fourth proportional to 13,617.42, 18,793.80 and 7,649.09 is: 10,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,617.42 : 18,793.80 = 7,649.09 : x
  2. Step 2: Convert to fraction form
    13,617.42/18,793.80 = 7,649.09/x
  3. Step 3: Cross multiply
    13,617.42x = 18,793.80 × 7,649.09
  4. Step 4: Simplify right side
    13,617.42x = 143,755,467.64
  5. Step 5: Solve for x
    x = 143,755,467.64/13,617.42
  6. Step 6: Final answer
    x = 10,556.73

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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.