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Finding the Fourth Proportional to 13,721.73, 20,582.10 and 5,819.15

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Solution

The fourth proportional to 13,721.73, 20,582.10 and 5,819.15 is: 8,728.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.73 : 20,582.10 = 5,819.15 : x
  2. Step 2: Convert to fraction form
    13,721.73/20,582.10 = 5,819.15/x
  3. Step 3: Cross multiply
    13,721.73x = 20,582.10 × 5,819.15
  4. Step 4: Simplify right side
    13,721.73x = 119,770,378.67
  5. Step 5: Solve for x
    x = 119,770,378.67/13,721.73
  6. Step 6: Final answer
    x = 8,728.52

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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.