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Finding the Fourth Proportional to 15,917.39, 23,867.87 and 7,144.79

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Solution

The fourth proportional to 15,917.39, 23,867.87 and 7,144.79 is: 10,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,917.39 : 23,867.87 = 7,144.79 : x
  2. Step 2: Convert to fraction form
    15,917.39/23,867.87 = 7,144.79/x
  3. Step 3: Cross multiply
    15,917.39x = 23,867.87 × 7,144.79
  4. Step 4: Simplify right side
    15,917.39x = 170,530,817.42
  5. Step 5: Solve for x
    x = 170,530,817.42/15,917.39
  6. Step 6: Final answer
    x = 10,713.49

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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.