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Finding the Fourth Proportional to 20,029.61, 30,044.39 and 8,342.82

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Solution

The fourth proportional to 20,029.61, 30,044.39 and 8,342.82 is: 12,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.61 : 30,044.39 = 8,342.82 : x
  2. Step 2: Convert to fraction form
    20,029.61/30,044.39 = 8,342.82/x
  3. Step 3: Cross multiply
    20,029.61x = 30,044.39 × 8,342.82
  4. Step 4: Simplify right side
    20,029.61x = 250,654,896.07
  5. Step 5: Solve for x
    x = 250,654,896.07/20,029.61
  6. Step 6: Final answer
    x = 12,514.22

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