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Finding the Fourth Proportional to 13,873.74, 20,789.99 and 8,320.58

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Solution

The fourth proportional to 13,873.74, 20,789.99 and 8,320.58 is: 12,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.74 : 20,789.99 = 8,320.58 : x
  2. Step 2: Convert to fraction form
    13,873.74/20,789.99 = 8,320.58/x
  3. Step 3: Cross multiply
    13,873.74x = 20,789.99 × 8,320.58
  4. Step 4: Simplify right side
    13,873.74x = 172,984,629.44
  5. Step 5: Solve for x
    x = 172,984,629.44/13,873.74
  6. Step 6: Final answer
    x = 12,468.49

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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.