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Finding the Fourth Proportional to 18,514.09, 25,549.34 and 10,016.19

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Solution

The fourth proportional to 18,514.09, 25,549.34 and 10,016.19 is: 13,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.09 : 25,549.34 = 10,016.19 : x
  2. Step 2: Convert to fraction form
    18,514.09/25,549.34 = 10,016.19/x
  3. Step 3: Cross multiply
    18,514.09x = 25,549.34 × 10,016.19
  4. Step 4: Simplify right side
    18,514.09x = 255,906,891.03
  5. Step 5: Solve for x
    x = 255,906,891.03/18,514.09
  6. Step 6: Final answer
    x = 13,822.28

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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.