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Finding the Fourth Proportional to 17,514.65, 24,179.03 and 11,147.65

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Solution

The fourth proportional to 17,514.65, 24,179.03 and 11,147.65 is: 15,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.65 : 24,179.03 = 11,147.65 : x
  2. Step 2: Convert to fraction form
    17,514.65/24,179.03 = 11,147.65/x
  3. Step 3: Cross multiply
    17,514.65x = 24,179.03 × 11,147.65
  4. Step 4: Simplify right side
    17,514.65x = 269,539,363.78
  5. Step 5: Solve for x
    x = 269,539,363.78/17,514.65
  6. Step 6: Final answer
    x = 15,389.37

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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.