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Finding the Fourth Proportional to 22,262.27, 33,385.71 and 6,463.02

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Solution

The fourth proportional to 22,262.27, 33,385.71 and 6,463.02 is: 9,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.27 : 33,385.71 = 6,463.02 : x
  2. Step 2: Convert to fraction form
    22,262.27/33,385.71 = 6,463.02/x
  3. Step 3: Cross multiply
    22,262.27x = 33,385.71 × 6,463.02
  4. Step 4: Simplify right side
    22,262.27x = 215,772,511.44
  5. Step 5: Solve for x
    x = 215,772,511.44/22,262.27
  6. Step 6: Final answer
    x = 9,692.30

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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.