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Finding the Fourth Proportional to 21,819.26, 32,732.01 and 8,489.67

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Solution

The fourth proportional to 21,819.26, 32,732.01 and 8,489.67 is: 12,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.26 : 32,732.01 = 8,489.67 : x
  2. Step 2: Convert to fraction form
    21,819.26/32,732.01 = 8,489.67/x
  3. Step 3: Cross multiply
    21,819.26x = 32,732.01 × 8,489.67
  4. Step 4: Simplify right side
    21,819.26x = 277,883,963.34
  5. Step 5: Solve for x
    x = 277,883,963.34/21,819.26
  6. Step 6: Final answer
    x = 12,735.72

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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.