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Finding the Fourth Proportional to 22,107.88, 33,173.34 and 9,793

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Solution

The fourth proportional to 22,107.88, 33,173.34 and 9,793 is: 14,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.88 : 33,173.34 = 9,793 : x
  2. Step 2: Convert to fraction form
    22,107.88/33,173.34 = 9,793/x
  3. Step 3: Cross multiply
    22,107.88x = 33,173.34 × 9,793
  4. Step 4: Simplify right side
    22,107.88x = 324,866,518.62
  5. Step 5: Solve for x
    x = 324,866,518.62/22,107.88
  6. Step 6: Final answer
    x = 14,694.60

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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.