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Finding the Fourth Proportional to 22,353.48, 30,847.82 and 12,282.57

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Solution

The fourth proportional to 22,353.48, 30,847.82 and 12,282.57 is: 16,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.48 : 30,847.82 = 12,282.57 : x
  2. Step 2: Convert to fraction form
    22,353.48/30,847.82 = 12,282.57/x
  3. Step 3: Cross multiply
    22,353.48x = 30,847.82 × 12,282.57
  4. Step 4: Simplify right side
    22,353.48x = 378,890,508.50
  5. Step 5: Solve for x
    x = 378,890,508.50/22,353.48
  6. Step 6: Final answer
    x = 16,949.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.