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Finding the Fourth Proportional to 20,496.29, 30,725.53 and 8,024.47

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Solution

The fourth proportional to 20,496.29, 30,725.53 and 8,024.47 is: 12,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.29 : 30,725.53 = 8,024.47 : x
  2. Step 2: Convert to fraction form
    20,496.29/30,725.53 = 8,024.47/x
  3. Step 3: Cross multiply
    20,496.29x = 30,725.53 × 8,024.47
  4. Step 4: Simplify right side
    20,496.29x = 246,555,996.84
  5. Step 5: Solve for x
    x = 246,555,996.84/20,496.29
  6. Step 6: Final answer
    x = 12,029.30

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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.