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Finding the Fourth Proportional to 24,224.27, 36,334.31 and 8,425.22

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Solution

The fourth proportional to 24,224.27, 36,334.31 and 8,425.22 is: 12,637.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224.27 : 36,334.31 = 8,425.22 : x
  2. Step 2: Convert to fraction form
    24,224.27/36,334.31 = 8,425.22/x
  3. Step 3: Cross multiply
    24,224.27x = 36,334.31 × 8,425.22
  4. Step 4: Simplify right side
    24,224.27x = 306,124,331.50
  5. Step 5: Solve for x
    x = 306,124,331.50/24,224.27
  6. Step 6: Final answer
    x = 12,637.09

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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.