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Finding the Fourth Proportional to 23,322, 34,986.24 and 7,735.44

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Solution

The fourth proportional to 23,322, 34,986.24 and 7,735.44 is: 11,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322 : 34,986.24 = 7,735.44 : x
  2. Step 2: Convert to fraction form
    23,322/34,986.24 = 7,735.44/x
  3. Step 3: Cross multiply
    23,322x = 34,986.24 × 7,735.44
  4. Step 4: Simplify right side
    23,322x = 270,633,960.35
  5. Step 5: Solve for x
    x = 270,633,960.35/23,322
  6. Step 6: Final answer
    x = 11,604.23

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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.