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Finding the Fourth Proportional to 22,549.84, 33,815.24 and 6,757.12

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Solution

The fourth proportional to 22,549.84, 33,815.24 and 6,757.12 is: 10,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.84 : 33,815.24 = 6,757.12 : x
  2. Step 2: Convert to fraction form
    22,549.84/33,815.24 = 6,757.12/x
  3. Step 3: Cross multiply
    22,549.84x = 33,815.24 × 6,757.12
  4. Step 4: Simplify right side
    22,549.84x = 228,493,706.34
  5. Step 5: Solve for x
    x = 228,493,706.34/22,549.84
  6. Step 6: Final answer
    x = 10,132.83

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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.