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Finding the Fourth Proportional to 17,474.72, 24,115.23 and 9,516.78

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Solution

The fourth proportional to 17,474.72, 24,115.23 and 9,516.78 is: 13,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.72 : 24,115.23 = 9,516.78 : x
  2. Step 2: Convert to fraction form
    17,474.72/24,115.23 = 9,516.78/x
  3. Step 3: Cross multiply
    17,474.72x = 24,115.23 × 9,516.78
  4. Step 4: Simplify right side
    17,474.72x = 229,499,338.56
  5. Step 5: Solve for x
    x = 229,499,338.56/17,474.72
  6. Step 6: Final answer
    x = 13,133.22

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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.