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Finding the Fourth Proportional to 15,911.16, 23,867.46 and 4,819.44

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Solution

The fourth proportional to 15,911.16, 23,867.46 and 4,819.44 is: 7,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,911.16 : 23,867.46 = 4,819.44 : x
  2. Step 2: Convert to fraction form
    15,911.16/23,867.46 = 4,819.44/x
  3. Step 3: Cross multiply
    15,911.16x = 23,867.46 × 4,819.44
  4. Step 4: Simplify right side
    15,911.16x = 115,027,791.42
  5. Step 5: Solve for x
    x = 115,027,791.42/15,911.16
  6. Step 6: Final answer
    x = 7,229.38

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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.