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Finding the Fourth Proportional to 22,561.48, 33,833.88 and 7,766.32

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Solution

The fourth proportional to 22,561.48, 33,833.88 and 7,766.32 is: 11,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.48 : 33,833.88 = 7,766.32 : x
  2. Step 2: Convert to fraction form
    22,561.48/33,833.88 = 7,766.32/x
  3. Step 3: Cross multiply
    22,561.48x = 33,833.88 × 7,766.32
  4. Step 4: Simplify right side
    22,561.48x = 262,764,738.92
  5. Step 5: Solve for x
    x = 262,764,738.92/22,561.48
  6. Step 6: Final answer
    x = 11,646.61

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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.