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Finding the Fourth Proportional to 20,245.20, 30,314.20 and 14,289.64

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Solution

The fourth proportional to 20,245.20, 30,314.20 and 14,289.64 is: 21,396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.20 : 30,314.20 = 14,289.64 : x
  2. Step 2: Convert to fraction form
    20,245.20/30,314.20 = 14,289.64/x
  3. Step 3: Cross multiply
    20,245.20x = 30,314.20 × 14,289.64
  4. Step 4: Simplify right side
    20,245.20x = 433,179,004.89
  5. Step 5: Solve for x
    x = 433,179,004.89/20,245.20
  6. Step 6: Final answer
    x = 21,396.63

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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.