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Finding the Fourth Proportional to 22,805.50, 31,472.21 and 12,734.37

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Solution

The fourth proportional to 22,805.50, 31,472.21 and 12,734.37 is: 17,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.50 : 31,472.21 = 12,734.37 : x
  2. Step 2: Convert to fraction form
    22,805.50/31,472.21 = 12,734.37/x
  3. Step 3: Cross multiply
    22,805.50x = 31,472.21 × 12,734.37
  4. Step 4: Simplify right side
    22,805.50x = 400,778,766.86
  5. Step 5: Solve for x
    x = 400,778,766.86/22,805.50
  6. Step 6: Final answer
    x = 17,573.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.