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Finding the Fourth Proportional to 13,676.31, 20,514.63 and 3,814.99

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Solution

The fourth proportional to 13,676.31, 20,514.63 and 3,814.99 is: 5,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.31 : 20,514.63 = 3,814.99 : x
  2. Step 2: Convert to fraction form
    13,676.31/20,514.63 = 3,814.99/x
  3. Step 3: Cross multiply
    13,676.31x = 20,514.63 × 3,814.99
  4. Step 4: Simplify right side
    13,676.31x = 78,263,108.30
  5. Step 5: Solve for x
    x = 78,263,108.30/13,676.31
  6. Step 6: Final answer
    x = 5,722.53

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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.