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Finding the Fourth Proportional to 17,474.70, 24,115.20 and 9,516.98

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Solution

The fourth proportional to 17,474.70, 24,115.20 and 9,516.98 is: 13,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,474.70 : 24,115.20 = 9,516.98 : x
  2. Step 2: Convert to fraction form
    17,474.70/24,115.20 = 9,516.98/x
  3. Step 3: Cross multiply
    17,474.70x = 24,115.20 × 9,516.98
  4. Step 4: Simplify right side
    17,474.70x = 229,503,876.10
  5. Step 5: Solve for x
    x = 229,503,876.10/17,474.70
  6. Step 6: Final answer
    x = 13,133.49

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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.