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Finding the Fourth Proportional to 14,183.67, 19,573.38 and 8,215.21

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Solution

The fourth proportional to 14,183.67, 19,573.38 and 8,215.21 is: 11,336.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,183.67 : 19,573.38 = 8,215.21 : x
  2. Step 2: Convert to fraction form
    14,183.67/19,573.38 = 8,215.21/x
  3. Step 3: Cross multiply
    14,183.67x = 19,573.38 × 8,215.21
  4. Step 4: Simplify right side
    14,183.67x = 160,799,451.58
  5. Step 5: Solve for x
    x = 160,799,451.58/14,183.67
  6. Step 6: Final answer
    x = 11,336.94

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Why These Related Problems?

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