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Finding the Fourth Proportional to 22,708.75, 34,063.31 and 7,917.64

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Solution

The fourth proportional to 22,708.75, 34,063.31 and 7,917.64 is: 11,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.75 : 34,063.31 = 7,917.64 : x
  2. Step 2: Convert to fraction form
    22,708.75/34,063.31 = 7,917.64/x
  3. Step 3: Cross multiply
    22,708.75x = 34,063.31 × 7,917.64
  4. Step 4: Simplify right side
    22,708.75x = 269,701,025.79
  5. Step 5: Solve for x
    x = 269,701,025.79/22,708.75
  6. Step 6: Final answer
    x = 11,876.52

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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.