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Finding the Fourth Proportional to 22,979.36, 34,471.97 and 8,189.77

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Solution

The fourth proportional to 22,979.36, 34,471.97 and 8,189.77 is: 12,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,979.36 : 34,471.97 = 8,189.77 : x
  2. Step 2: Convert to fraction form
    22,979.36/34,471.97 = 8,189.77/x
  3. Step 3: Cross multiply
    22,979.36x = 34,471.97 × 8,189.77
  4. Step 4: Simplify right side
    22,979.36x = 282,317,378.62
  5. Step 5: Solve for x
    x = 282,317,378.62/22,979.36
  6. Step 6: Final answer
    x = 12,285.70

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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.