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Finding the Fourth Proportional to 17,676.65, 24,375.69 and 11,706.14

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Solution

The fourth proportional to 17,676.65, 24,375.69 and 11,706.14 is: 16,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.65 : 24,375.69 = 11,706.14 : x
  2. Step 2: Convert to fraction form
    17,676.65/24,375.69 = 11,706.14/x
  3. Step 3: Cross multiply
    17,676.65x = 24,375.69 × 11,706.14
  4. Step 4: Simplify right side
    17,676.65x = 285,345,300.68
  5. Step 5: Solve for x
    x = 285,345,300.68/17,676.65
  6. Step 6: Final answer
    x = 16,142.50

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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.