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Finding the Fourth Proportional to 22,501.62, 33,757.17 and 8,461.77

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Solution

The fourth proportional to 22,501.62, 33,757.17 and 8,461.77 is: 12,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,501.62 : 33,757.17 = 8,461.77 : x
  2. Step 2: Convert to fraction form
    22,501.62/33,757.17 = 8,461.77/x
  3. Step 3: Cross multiply
    22,501.62x = 33,757.17 × 8,461.77
  4. Step 4: Simplify right side
    22,501.62x = 285,645,408.39
  5. Step 5: Solve for x
    x = 285,645,408.39/22,501.62
  6. Step 6: Final answer
    x = 12,694.44

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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.