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Finding the Fourth Proportional to 22,469.38, 33,704.07 and 7,670.86

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Solution

The fourth proportional to 22,469.38, 33,704.07 and 7,670.86 is: 11,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.38 : 33,704.07 = 7,670.86 : x
  2. Step 2: Convert to fraction form
    22,469.38/33,704.07 = 7,670.86/x
  3. Step 3: Cross multiply
    22,469.38x = 33,704.07 × 7,670.86
  4. Step 4: Simplify right side
    22,469.38x = 258,539,202.40
  5. Step 5: Solve for x
    x = 258,539,202.40/22,469.38
  6. Step 6: Final answer
    x = 11,506.29

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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.