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Finding the Fourth Proportional to 22,432.31, 33,616.73 and 12,441.48

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Solution

The fourth proportional to 22,432.31, 33,616.73 and 12,441.48 is: 18,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.31 : 33,616.73 = 12,441.48 : x
  2. Step 2: Convert to fraction form
    22,432.31/33,616.73 = 12,441.48/x
  3. Step 3: Cross multiply
    22,432.31x = 33,616.73 × 12,441.48
  4. Step 4: Simplify right side
    22,432.31x = 418,241,811.75
  5. Step 5: Solve for x
    x = 418,241,811.75/22,432.31
  6. Step 6: Final answer
    x = 18,644.62

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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.