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Finding the Fourth Proportional to 13,814.94, 20,720.30 and 4,453.68

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Solution

The fourth proportional to 13,814.94, 20,720.30 and 4,453.68 is: 6,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.94 : 20,720.30 = 4,453.68 : x
  2. Step 2: Convert to fraction form
    13,814.94/20,720.30 = 4,453.68/x
  3. Step 3: Cross multiply
    13,814.94x = 20,720.30 × 4,453.68
  4. Step 4: Simplify right side
    13,814.94x = 92,281,563.44
  5. Step 5: Solve for x
    x = 92,281,563.44/13,814.94
  6. Step 6: Final answer
    x = 6,679.84

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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.