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Finding the Fourth Proportional to 24,267.56, 36,398.44 and 8,469.84

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Solution

The fourth proportional to 24,267.56, 36,398.44 and 8,469.84 is: 12,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.56 : 36,398.44 = 8,469.84 : x
  2. Step 2: Convert to fraction form
    24,267.56/36,398.44 = 8,469.84/x
  3. Step 3: Cross multiply
    24,267.56x = 36,398.44 × 8,469.84
  4. Step 4: Simplify right side
    24,267.56x = 308,288,963.05
  5. Step 5: Solve for x
    x = 308,288,963.05/24,267.56
  6. Step 6: Final answer
    x = 12,703.75

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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.