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Finding the Fourth Proportional to 13,514.76, 18,650.38 and 7,546.42

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Solution

The fourth proportional to 13,514.76, 18,650.38 and 7,546.42 is: 10,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.76 : 18,650.38 = 7,546.42 : x
  2. Step 2: Convert to fraction form
    13,514.76/18,650.38 = 7,546.42/x
  3. Step 3: Cross multiply
    13,514.76x = 18,650.38 × 7,546.42
  4. Step 4: Simplify right side
    13,514.76x = 140,743,600.64
  5. Step 5: Solve for x
    x = 140,743,600.64/13,514.76
  6. Step 6: Final answer
    x = 10,414.07

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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.