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Finding the Fourth Proportional to 17,514.38, 24,169.84 and 11,226.77

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Solution

The fourth proportional to 17,514.38, 24,169.84 and 11,226.77 is: 15,492.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.38 : 24,169.84 = 11,226.77 : x
  2. Step 2: Convert to fraction form
    17,514.38/24,169.84 = 11,226.77/x
  3. Step 3: Cross multiply
    17,514.38x = 24,169.84 × 11,226.77
  4. Step 4: Simplify right side
    17,514.38x = 271,349,234.62
  5. Step 5: Solve for x
    x = 271,349,234.62/17,514.38
  6. Step 6: Final answer
    x = 15,492.94

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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.