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Finding the Fourth Proportional to 24,224.62, 36,335.90 and 8,433.24

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Solution

The fourth proportional to 24,224.62, 36,335.90 and 8,433.24 is: 12,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.62 : 36,335.90 = 8,433.24 : x
  2. Step 2: Convert to fraction form
    24,224.62/36,335.90 = 8,433.24/x
  3. Step 3: Cross multiply
    24,224.62x = 36,335.90 × 8,433.24
  4. Step 4: Simplify right side
    24,224.62x = 306,429,365.32
  5. Step 5: Solve for x
    x = 306,429,365.32/24,224.62
  6. Step 6: Final answer
    x = 12,649.50

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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.