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Finding the Fourth Proportional to 33,713.16, 50,575.22 and 12,654.86

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Solution

The fourth proportional to 33,713.16, 50,575.22 and 12,654.86 is: 18,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.16 : 50,575.22 = 12,654.86 : x
  2. Step 2: Convert to fraction form
    33,713.16/50,575.22 = 12,654.86/x
  3. Step 3: Cross multiply
    33,713.16x = 50,575.22 × 12,654.86
  4. Step 4: Simplify right side
    33,713.16x = 640,022,012.42
  5. Step 5: Solve for x
    x = 640,022,012.42/33,713.16
  6. Step 6: Final answer
    x = 18,984.34

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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.