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Finding the Fourth Proportional to 17,770.32, 24,514.92 and 10,314

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Solution

The fourth proportional to 17,770.32, 24,514.92 and 10,314 is: 14,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.32 : 24,514.92 = 10,314 : x
  2. Step 2: Convert to fraction form
    17,770.32/24,514.92 = 10,314/x
  3. Step 3: Cross multiply
    17,770.32x = 24,514.92 × 10,314
  4. Step 4: Simplify right side
    17,770.32x = 252,846,884.88
  5. Step 5: Solve for x
    x = 252,846,884.88/17,770.32
  6. Step 6: Final answer
    x = 14,228.61

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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.