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Finding the Fourth Proportional to 17,662.98, 24,378.36 and 10,951.63

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Solution

The fourth proportional to 17,662.98, 24,378.36 and 10,951.63 is: 15,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.98 : 24,378.36 = 10,951.63 : x
  2. Step 2: Convert to fraction form
    17,662.98/24,378.36 = 10,951.63/x
  3. Step 3: Cross multiply
    17,662.98x = 24,378.36 × 10,951.63
  4. Step 4: Simplify right side
    17,662.98x = 266,982,778.73
  5. Step 5: Solve for x
    x = 266,982,778.73/17,662.98
  6. Step 6: Final answer
    x = 15,115.39

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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.