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Finding the Fourth Proportional to 16,950.47, 23,392.24 and 10,234.80

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Solution

The fourth proportional to 16,950.47, 23,392.24 and 10,234.80 is: 14,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950.47 : 23,392.24 = 10,234.80 : x
  2. Step 2: Convert to fraction form
    16,950.47/23,392.24 = 10,234.80/x
  3. Step 3: Cross multiply
    16,950.47x = 23,392.24 × 10,234.80
  4. Step 4: Simplify right side
    16,950.47x = 239,414,872.37
  5. Step 5: Solve for x
    x = 239,414,872.37/16,950.47
  6. Step 6: Final answer
    x = 14,124.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.