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Finding the Fourth Proportional to 22,487.24, 33,724.70 and 8,446.18

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Solution

The fourth proportional to 22,487.24, 33,724.70 and 8,446.18 is: 12,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.24 : 33,724.70 = 8,446.18 : x
  2. Step 2: Convert to fraction form
    22,487.24/33,724.70 = 8,446.18/x
  3. Step 3: Cross multiply
    22,487.24x = 33,724.70 × 8,446.18
  4. Step 4: Simplify right side
    22,487.24x = 284,844,886.65
  5. Step 5: Solve for x
    x = 284,844,886.65/22,487.24
  6. Step 6: Final answer
    x = 12,666.96

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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.