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Finding the Fourth Proportional to 20,049.31, 30,057.96 and 9,514.06

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Solution

The fourth proportional to 20,049.31, 30,057.96 and 9,514.06 is: 14,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.31 : 30,057.96 = 9,514.06 : x
  2. Step 2: Convert to fraction form
    20,049.31/30,057.96 = 9,514.06/x
  3. Step 3: Cross multiply
    20,049.31x = 30,057.96 × 9,514.06
  4. Step 4: Simplify right side
    20,049.31x = 285,973,234.92
  5. Step 5: Solve for x
    x = 285,973,234.92/20,049.31
  6. Step 6: Final answer
    x = 14,263.50

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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.