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Finding the Fourth Proportional to 13,514.12, 18,648 and 7,546.04

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Solution

The fourth proportional to 13,514.12, 18,648 and 7,546.04 is: 10,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.12 : 18,648 = 7,546.04 : x
  2. Step 2: Convert to fraction form
    13,514.12/18,648 = 7,546.04/x
  3. Step 3: Cross multiply
    13,514.12x = 18,648 × 7,546.04
  4. Step 4: Simplify right side
    13,514.12x = 140,718,553.92
  5. Step 5: Solve for x
    x = 140,718,553.92/13,514.12
  6. Step 6: Final answer
    x = 10,412.71

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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.