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Finding the Fourth Proportional to 24,221.50, 36,334.47 and 8,429.34

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Solution

The fourth proportional to 24,221.50, 36,334.47 and 8,429.34 is: 12,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.50 : 36,334.47 = 8,429.34 : x
  2. Step 2: Convert to fraction form
    24,221.50/36,334.47 = 8,429.34/x
  3. Step 3: Cross multiply
    24,221.50x = 36,334.47 × 8,429.34
  4. Step 4: Simplify right side
    24,221.50x = 306,275,601.35
  5. Step 5: Solve for x
    x = 306,275,601.35/24,221.50
  6. Step 6: Final answer
    x = 12,644.78

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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.