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Finding the Fourth Proportional to 20,495.42, 30,704.24 and 12,157.82

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Solution

The fourth proportional to 20,495.42, 30,704.24 and 12,157.82 is: 18,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,495.42 : 30,704.24 = 12,157.82 : x
  2. Step 2: Convert to fraction form
    20,495.42/30,704.24 = 12,157.82/x
  3. Step 3: Cross multiply
    20,495.42x = 30,704.24 × 12,157.82
  4. Step 4: Simplify right side
    20,495.42x = 373,296,500.03
  5. Step 5: Solve for x
    x = 373,296,500.03/20,495.42
  6. Step 6: Final answer
    x = 18,213.66

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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.