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Finding the Fourth Proportional to 24,252, 36,379.92 and 7,836

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Solution

The fourth proportional to 24,252, 36,379.92 and 7,836 is: 11,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,252 : 36,379.92 = 7,836 : x
  2. Step 2: Convert to fraction form
    24,252/36,379.92 = 7,836/x
  3. Step 3: Cross multiply
    24,252x = 36,379.92 × 7,836
  4. Step 4: Simplify right side
    24,252x = 285,073,053.12
  5. Step 5: Solve for x
    x = 285,073,053.12/24,252
  6. Step 6: Final answer
    x = 11,754.62

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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.