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Finding the Fourth Proportional to 13,675.70, 20,514.72 and 3,815

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Solution

The fourth proportional to 13,675.70, 20,514.72 and 3,815 is: 5,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.70 : 20,514.72 = 3,815 : x
  2. Step 2: Convert to fraction form
    13,675.70/20,514.72 = 3,815/x
  3. Step 3: Cross multiply
    13,675.70x = 20,514.72 × 3,815
  4. Step 4: Simplify right side
    13,675.70x = 78,263,656.80
  5. Step 5: Solve for x
    x = 78,263,656.80/13,675.70
  6. Step 6: Final answer
    x = 5,722.83

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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.