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Finding the Fourth Proportional to 15,768.50, 23,652.09 and 3,922.28

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Solution

The fourth proportional to 15,768.50, 23,652.09 and 3,922.28 is: 5,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768.50 : 23,652.09 = 3,922.28 : x
  2. Step 2: Convert to fraction form
    15,768.50/23,652.09 = 3,922.28/x
  3. Step 3: Cross multiply
    15,768.50x = 23,652.09 × 3,922.28
  4. Step 4: Simplify right side
    15,768.50x = 92,770,119.57
  5. Step 5: Solve for x
    x = 92,770,119.57/15,768.50
  6. Step 6: Final answer
    x = 5,883.26

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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.