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Finding the Fourth Proportional to 13,676.75, 20,514.05 and 8,412.45

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Solution

The fourth proportional to 13,676.75, 20,514.05 and 8,412.45 is: 12,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.75 : 20,514.05 = 8,412.45 : x
  2. Step 2: Convert to fraction form
    13,676.75/20,514.05 = 8,412.45/x
  3. Step 3: Cross multiply
    13,676.75x = 20,514.05 × 8,412.45
  4. Step 4: Simplify right side
    13,676.75x = 172,573,419.92
  5. Step 5: Solve for x
    x = 172,573,419.92/13,676.75
  6. Step 6: Final answer
    x = 12,618.02

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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.