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Finding the Fourth Proportional to 18,514.80, 27,772.18 and 6,034.82

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Solution

The fourth proportional to 18,514.80, 27,772.18 and 6,034.82 is: 9,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,514.80 : 27,772.18 = 6,034.82 : x
  2. Step 2: Convert to fraction form
    18,514.80/27,772.18 = 6,034.82/x
  3. Step 3: Cross multiply
    18,514.80x = 27,772.18 × 6,034.82
  4. Step 4: Simplify right side
    18,514.80x = 167,600,107.31
  5. Step 5: Solve for x
    x = 167,600,107.31/18,514.80
  6. Step 6: Final answer
    x = 9,052.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.