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Finding the Fourth Proportional to 22,502.70, 33,754.86 and 8,461.44

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Solution

The fourth proportional to 22,502.70, 33,754.86 and 8,461.44 is: 12,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.70 : 33,754.86 = 8,461.44 : x
  2. Step 2: Convert to fraction form
    22,502.70/33,754.86 = 8,461.44/x
  3. Step 3: Cross multiply
    22,502.70x = 33,754.86 × 8,461.44
  4. Step 4: Simplify right side
    22,502.70x = 285,614,722.60
  5. Step 5: Solve for x
    x = 285,614,722.60/22,502.70
  6. Step 6: Final answer
    x = 12,692.46

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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.