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Finding the Fourth Proportional to 22,512, 33,770.40 and 6,096

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Solution

The fourth proportional to 22,512, 33,770.40 and 6,096 is: 9,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512 : 33,770.40 = 6,096 : x
  2. Step 2: Convert to fraction form
    22,512/33,770.40 = 6,096/x
  3. Step 3: Cross multiply
    22,512x = 33,770.40 × 6,096
  4. Step 4: Simplify right side
    22,512x = 205,864,358.40
  5. Step 5: Solve for x
    x = 205,864,358.40/22,512
  6. Step 6: Final answer
    x = 9,144.65

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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.