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Finding the Fourth Proportional to 13,819.41, 20,729.12 and 5,814.99

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Solution

The fourth proportional to 13,819.41, 20,729.12 and 5,814.99 is: 8,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.41 : 20,729.12 = 5,814.99 : x
  2. Step 2: Convert to fraction form
    13,819.41/20,729.12 = 5,814.99/x
  3. Step 3: Cross multiply
    13,819.41x = 20,729.12 × 5,814.99
  4. Step 4: Simplify right side
    13,819.41x = 120,539,596.43
  5. Step 5: Solve for x
    x = 120,539,596.43/13,819.41
  6. Step 6: Final answer
    x = 8,722.49

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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.