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Finding the Fourth Proportional to 22,406.10, 33,605.46 and 8,362.44

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Solution

The fourth proportional to 22,406.10, 33,605.46 and 8,362.44 is: 12,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.10 : 33,605.46 = 8,362.44 : x
  2. Step 2: Convert to fraction form
    22,406.10/33,605.46 = 8,362.44/x
  3. Step 3: Cross multiply
    22,406.10x = 33,605.46 × 8,362.44
  4. Step 4: Simplify right side
    22,406.10x = 281,023,642.92
  5. Step 5: Solve for x
    x = 281,023,642.92/22,406.10
  6. Step 6: Final answer
    x = 12,542.28

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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.