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Finding the Fourth Proportional to 10,799.34, 16,170.99 and 9,249.31

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Solution

The fourth proportional to 10,799.34, 16,170.99 and 9,249.31 is: 13,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.34 : 16,170.99 = 9,249.31 : x
  2. Step 2: Convert to fraction form
    10,799.34/16,170.99 = 9,249.31/x
  3. Step 3: Cross multiply
    10,799.34x = 16,170.99 × 9,249.31
  4. Step 4: Simplify right side
    10,799.34x = 149,570,372.42
  5. Step 5: Solve for x
    x = 149,570,372.42/10,799.34
  6. Step 6: Final answer
    x = 13,849.95

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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.