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Finding the Fourth Proportional to 13,676.06, 20,514.25 and 3,814.74

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Solution

The fourth proportional to 13,676.06, 20,514.25 and 3,814.74 is: 5,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.06 : 20,514.25 = 3,814.74 : x
  2. Step 2: Convert to fraction form
    13,676.06/20,514.25 = 3,814.74/x
  3. Step 3: Cross multiply
    13,676.06x = 20,514.25 × 3,814.74
  4. Step 4: Simplify right side
    13,676.06x = 78,256,530.05
  5. Step 5: Solve for x
    x = 78,256,530.05/13,676.06
  6. Step 6: Final answer
    x = 5,722.15

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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.