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Finding the Fourth Proportional to 22,469.01, 33,679.80 and 8,419.86

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Solution

The fourth proportional to 22,469.01, 33,679.80 and 8,419.86 is: 12,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.01 : 33,679.80 = 8,419.86 : x
  2. Step 2: Convert to fraction form
    22,469.01/33,679.80 = 8,419.86/x
  3. Step 3: Cross multiply
    22,469.01x = 33,679.80 × 8,419.86
  4. Step 4: Simplify right side
    22,469.01x = 283,579,200.83
  5. Step 5: Solve for x
    x = 283,579,200.83/22,469.01
  6. Step 6: Final answer
    x = 12,620.90

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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.