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Finding the Fourth Proportional to 15,199.46, 20,974.68 and 9,537.24

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Solution

The fourth proportional to 15,199.46, 20,974.68 and 9,537.24 is: 13,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,199.46 : 20,974.68 = 9,537.24 : x
  2. Step 2: Convert to fraction form
    15,199.46/20,974.68 = 9,537.24/x
  3. Step 3: Cross multiply
    15,199.46x = 20,974.68 × 9,537.24
  4. Step 4: Simplify right side
    15,199.46x = 200,040,557.08
  5. Step 5: Solve for x
    x = 200,040,557.08/15,199.46
  6. Step 6: Final answer
    x = 13,161.03

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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.