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Finding the Fourth Proportional to 17,763, 24,512.94 and 10,311

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Solution

The fourth proportional to 17,763, 24,512.94 and 10,311 is: 14,229.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763 : 24,512.94 = 10,311 : x
  2. Step 2: Convert to fraction form
    17,763/24,512.94 = 10,311/x
  3. Step 3: Cross multiply
    17,763x = 24,512.94 × 10,311
  4. Step 4: Simplify right side
    17,763x = 252,752,924.34
  5. Step 5: Solve for x
    x = 252,752,924.34/17,763
  6. Step 6: Final answer
    x = 14,229.18

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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.