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Finding the Fourth Proportional to 22,705.89, 34,067.04 and 11,617.80

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Solution

The fourth proportional to 22,705.89, 34,067.04 and 11,617.80 is: 17,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.89 : 34,067.04 = 11,617.80 : x
  2. Step 2: Convert to fraction form
    22,705.89/34,067.04 = 11,617.80/x
  3. Step 3: Cross multiply
    22,705.89x = 34,067.04 × 11,617.80
  4. Step 4: Simplify right side
    22,705.89x = 395,784,057.31
  5. Step 5: Solve for x
    x = 395,784,057.31/22,705.89
  6. Step 6: Final answer
    x = 17,430.90

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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.