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Finding the Fourth Proportional to 38,494.98, 57,744.12 and 12,199.14

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Solution

The fourth proportional to 38,494.98, 57,744.12 and 12,199.14 is: 18,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.98 : 57,744.12 = 12,199.14 : x
  2. Step 2: Convert to fraction form
    38,494.98/57,744.12 = 12,199.14/x
  3. Step 3: Cross multiply
    38,494.98x = 57,744.12 × 12,199.14
  4. Step 4: Simplify right side
    38,494.98x = 704,428,604.06
  5. Step 5: Solve for x
    x = 704,428,604.06/38,494.98
  6. Step 6: Final answer
    x = 18,299.23

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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.