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Finding the Fourth Proportional to 24,481.50, 36,722.97 and 6,013.50

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Solution

The fourth proportional to 24,481.50, 36,722.97 and 6,013.50 is: 9,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.50 : 36,722.97 = 6,013.50 : x
  2. Step 2: Convert to fraction form
    24,481.50/36,722.97 = 6,013.50/x
  3. Step 3: Cross multiply
    24,481.50x = 36,722.97 × 6,013.50
  4. Step 4: Simplify right side
    24,481.50x = 220,833,580.10
  5. Step 5: Solve for x
    x = 220,833,580.10/24,481.50
  6. Step 6: Final answer
    x = 9,020.43

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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.