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Finding the Fourth Proportional to 22,096.54, 33,144.90 and 8,949.16

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Solution

The fourth proportional to 22,096.54, 33,144.90 and 8,949.16 is: 13,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.54 : 33,144.90 = 8,949.16 : x
  2. Step 2: Convert to fraction form
    22,096.54/33,144.90 = 8,949.16/x
  3. Step 3: Cross multiply
    22,096.54x = 33,144.90 × 8,949.16
  4. Step 4: Simplify right side
    22,096.54x = 296,619,013.28
  5. Step 5: Solve for x
    x = 296,619,013.28/22,096.54
  6. Step 6: Final answer
    x = 13,423.78

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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.