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Finding the Fourth Proportional to 22,522.92, 33,776.28 and 7,727.88

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Solution

The fourth proportional to 22,522.92, 33,776.28 and 7,727.88 is: 11,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.92 : 33,776.28 = 7,727.88 : x
  2. Step 2: Convert to fraction form
    22,522.92/33,776.28 = 7,727.88/x
  3. Step 3: Cross multiply
    22,522.92x = 33,776.28 × 7,727.88
  4. Step 4: Simplify right side
    22,522.92x = 261,019,038.69
  5. Step 5: Solve for x
    x = 261,019,038.69/22,522.92
  6. Step 6: Final answer
    x = 11,589.04

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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.