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Finding the Fourth Proportional to 22,487.20, 33,724.64 and 8,446.14

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Solution

The fourth proportional to 22,487.20, 33,724.64 and 8,446.14 is: 12,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.20 : 33,724.64 = 8,446.14 : x
  2. Step 2: Convert to fraction form
    22,487.20/33,724.64 = 8,446.14/x
  3. Step 3: Cross multiply
    22,487.20x = 33,724.64 × 8,446.14
  4. Step 4: Simplify right side
    22,487.20x = 284,843,004.50
  5. Step 5: Solve for x
    x = 284,843,004.50/22,487.20
  6. Step 6: Final answer
    x = 12,666.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.