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Finding the Fourth Proportional to 20,393.97, 30,613.34 and 16,204.16

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Solution

The fourth proportional to 20,393.97, 30,613.34 and 16,204.16 is: 24,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.97 : 30,613.34 = 16,204.16 : x
  2. Step 2: Convert to fraction form
    20,393.97/30,613.34 = 16,204.16/x
  3. Step 3: Cross multiply
    20,393.97x = 30,613.34 × 16,204.16
  4. Step 4: Simplify right side
    20,393.97x = 496,063,459.49
  5. Step 5: Solve for x
    x = 496,063,459.49/20,393.97
  6. Step 6: Final answer
    x = 24,324.03

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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.