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Finding the Fourth Proportional to 11,676.28, 17,514.46 and 3,356.44

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Solution

The fourth proportional to 11,676.28, 17,514.46 and 3,356.44 is: 5,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.28 : 17,514.46 = 3,356.44 : x
  2. Step 2: Convert to fraction form
    11,676.28/17,514.46 = 3,356.44/x
  3. Step 3: Cross multiply
    11,676.28x = 17,514.46 × 3,356.44
  4. Step 4: Simplify right side
    11,676.28x = 58,786,234.12
  5. Step 5: Solve for x
    x = 58,786,234.12/11,676.28
  6. Step 6: Final answer
    x = 5,034.67

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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.