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Finding the Fourth Proportional to 14,147.73, 19,523.43 and 8,179.65

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Solution

The fourth proportional to 14,147.73, 19,523.43 and 8,179.65 is: 11,287.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,147.73 : 19,523.43 = 8,179.65 : x
  2. Step 2: Convert to fraction form
    14,147.73/19,523.43 = 8,179.65/x
  3. Step 3: Cross multiply
    14,147.73x = 19,523.43 × 8,179.65
  4. Step 4: Simplify right side
    14,147.73x = 159,694,824.20
  5. Step 5: Solve for x
    x = 159,694,824.20/14,147.73
  6. Step 6: Final answer
    x = 11,287.66

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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.