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Finding the Fourth Proportional to 22,561.74, 33,828.84 and 7,766.55

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Solution

The fourth proportional to 22,561.74, 33,828.84 and 7,766.55 is: 11,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.74 : 33,828.84 = 7,766.55 : x
  2. Step 2: Convert to fraction form
    22,561.74/33,828.84 = 7,766.55/x
  3. Step 3: Cross multiply
    22,561.74x = 33,828.84 × 7,766.55
  4. Step 4: Simplify right side
    22,561.74x = 262,733,377.30
  5. Step 5: Solve for x
    x = 262,733,377.30/22,561.74
  6. Step 6: Final answer
    x = 11,645.08

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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.