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Finding the Fourth Proportional to 27,819.60, 41,725.04 and 9,099.48

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Solution

The fourth proportional to 27,819.60, 41,725.04 and 9,099.48 is: 13,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.60 : 41,725.04 = 9,099.48 : x
  2. Step 2: Convert to fraction form
    27,819.60/41,725.04 = 9,099.48/x
  3. Step 3: Cross multiply
    27,819.60x = 41,725.04 × 9,099.48
  4. Step 4: Simplify right side
    27,819.60x = 379,676,166.98
  5. Step 5: Solve for x
    x = 379,676,166.98/27,819.60
  6. Step 6: Final answer
    x = 13,647.79

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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.