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Finding the Fourth Proportional to 24,377.52, 36,571.54 and 7,738.88

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Solution

The fourth proportional to 24,377.52, 36,571.54 and 7,738.88 is: 11,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.52 : 36,571.54 = 7,738.88 : x
  2. Step 2: Convert to fraction form
    24,377.52/36,571.54 = 7,738.88/x
  3. Step 3: Cross multiply
    24,377.52x = 36,571.54 × 7,738.88
  4. Step 4: Simplify right side
    24,377.52x = 283,022,759.48
  5. Step 5: Solve for x
    x = 283,022,759.48/24,377.52
  6. Step 6: Final answer
    x = 11,609.99

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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.