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Finding the Fourth Proportional to 24,640.98, 36,976.05 and 9,069.54

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Solution

The fourth proportional to 24,640.98, 36,976.05 and 9,069.54 is: 13,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640.98 : 36,976.05 = 9,069.54 : x
  2. Step 2: Convert to fraction form
    24,640.98/36,976.05 = 9,069.54/x
  3. Step 3: Cross multiply
    24,640.98x = 36,976.05 × 9,069.54
  4. Step 4: Simplify right side
    24,640.98x = 335,355,764.52
  5. Step 5: Solve for x
    x = 335,355,764.52/24,640.98
  6. Step 6: Final answer
    x = 13,609.68

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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.