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Finding the Fourth Proportional to 20,497.29, 30,753.68 and 8,026.22

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Solution

The fourth proportional to 20,497.29, 30,753.68 and 8,026.22 is: 12,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.29 : 30,753.68 = 8,026.22 : x
  2. Step 2: Convert to fraction form
    20,497.29/30,753.68 = 8,026.22/x
  3. Step 3: Cross multiply
    20,497.29x = 30,753.68 × 8,026.22
  4. Step 4: Simplify right side
    20,497.29x = 246,835,838.24
  5. Step 5: Solve for x
    x = 246,835,838.24/20,497.29
  6. Step 6: Final answer
    x = 12,042.37

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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.