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Finding the Fourth Proportional to 13,675.54, 20,514.41 and 3,814.91

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Solution

The fourth proportional to 13,675.54, 20,514.41 and 3,814.91 is: 5,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.54 : 20,514.41 = 3,814.91 : x
  2. Step 2: Convert to fraction form
    13,675.54/20,514.41 = 3,814.91/x
  3. Step 3: Cross multiply
    13,675.54x = 20,514.41 × 3,814.91
  4. Step 4: Simplify right side
    13,675.54x = 78,260,627.85
  5. Step 5: Solve for x
    x = 78,260,627.85/13,675.54
  6. Step 6: Final answer
    x = 5,722.67

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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.