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Finding the Fourth Proportional to 22,561.47, 33,836.67 and 8,522.82

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Solution

The fourth proportional to 22,561.47, 33,836.67 and 8,522.82 is: 12,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,561.47 : 33,836.67 = 8,522.82 : x
  2. Step 2: Convert to fraction form
    22,561.47/33,836.67 = 8,522.82/x
  3. Step 3: Cross multiply
    22,561.47x = 33,836.67 × 8,522.82
  4. Step 4: Simplify right side
    22,561.47x = 288,383,847.81
  5. Step 5: Solve for x
    x = 288,383,847.81/22,561.47
  6. Step 6: Final answer
    x = 12,782.14

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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.