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Finding the Fourth Proportional to 13,676.34, 20,514.52 and 3,288.09

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Solution

The fourth proportional to 13,676.34, 20,514.52 and 3,288.09 is: 4,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.34 : 20,514.52 = 3,288.09 : x
  2. Step 2: Convert to fraction form
    13,676.34/20,514.52 = 3,288.09/x
  3. Step 3: Cross multiply
    13,676.34x = 20,514.52 × 3,288.09
  4. Step 4: Simplify right side
    13,676.34x = 67,453,650.61
  5. Step 5: Solve for x
    x = 67,453,650.61/13,676.34
  6. Step 6: Final answer
    x = 4,932.14

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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.