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Finding the Fourth Proportional to 17,514.15, 24,178.35 and 11,147.15

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Solution

The fourth proportional to 17,514.15, 24,178.35 and 11,147.15 is: 15,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,514.15 : 24,178.35 = 11,147.15 : x
  2. Step 2: Convert to fraction form
    17,514.15/24,178.35 = 11,147.15/x
  3. Step 3: Cross multiply
    17,514.15x = 24,178.35 × 11,147.15
  4. Step 4: Simplify right side
    17,514.15x = 269,519,573.31
  5. Step 5: Solve for x
    x = 269,519,573.31/17,514.15
  6. Step 6: Final answer
    x = 15,388.68

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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.