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Finding the Fourth Proportional to 20,752.30, 31,105.17 and 8,269

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Solution

The fourth proportional to 20,752.30, 31,105.17 and 8,269 is: 12,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752.30 : 31,105.17 = 8,269 : x
  2. Step 2: Convert to fraction form
    20,752.30/31,105.17 = 8,269/x
  3. Step 3: Cross multiply
    20,752.30x = 31,105.17 × 8,269
  4. Step 4: Simplify right side
    20,752.30x = 257,208,650.73
  5. Step 5: Solve for x
    x = 257,208,650.73/20,752.30
  6. Step 6: Final answer
    x = 12,394.22

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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.