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Finding the Fourth Proportional to 24,563.20, 36,844.80 and 8,147.20

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Solution

The fourth proportional to 24,563.20, 36,844.80 and 8,147.20 is: 12,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.20 : 36,844.80 = 8,147.20 : x
  2. Step 2: Convert to fraction form
    24,563.20/36,844.80 = 8,147.20/x
  3. Step 3: Cross multiply
    24,563.20x = 36,844.80 × 8,147.20
  4. Step 4: Simplify right side
    24,563.20x = 300,181,954.56
  5. Step 5: Solve for x
    x = 300,181,954.56/24,563.20
  6. Step 6: Final answer
    x = 12,220.80

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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.