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Finding the Fourth Proportional to 22,904.92, 34,356.97 and 9,766.32

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Solution

The fourth proportional to 22,904.92, 34,356.97 and 9,766.32 is: 14,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,904.92 : 34,356.97 = 9,766.32 : x
  2. Step 2: Convert to fraction form
    22,904.92/34,356.97 = 9,766.32/x
  3. Step 3: Cross multiply
    22,904.92x = 34,356.97 × 9,766.32
  4. Step 4: Simplify right side
    22,904.92x = 335,541,163.25
  5. Step 5: Solve for x
    x = 335,541,163.25/22,904.92
  6. Step 6: Final answer
    x = 14,649.31

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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.