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Finding the Fourth Proportional to 22,282.83, 33,405.21 and 8,240.24

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Solution

The fourth proportional to 22,282.83, 33,405.21 and 8,240.24 is: 12,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.83 : 33,405.21 = 8,240.24 : x
  2. Step 2: Convert to fraction form
    22,282.83/33,405.21 = 8,240.24/x
  3. Step 3: Cross multiply
    22,282.83x = 33,405.21 × 8,240.24
  4. Step 4: Simplify right side
    22,282.83x = 275,267,078.14
  5. Step 5: Solve for x
    x = 275,267,078.14/22,282.83
  6. Step 6: Final answer
    x = 12,353.32

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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.