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Finding the Fourth Proportional to 19,693.71, 29,540.57 and 5,843.79

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Solution

The fourth proportional to 19,693.71, 29,540.57 and 5,843.79 is: 8,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.71 : 29,540.57 = 5,843.79 : x
  2. Step 2: Convert to fraction form
    19,693.71/29,540.57 = 5,843.79/x
  3. Step 3: Cross multiply
    19,693.71x = 29,540.57 × 5,843.79
  4. Step 4: Simplify right side
    19,693.71x = 172,628,858.34
  5. Step 5: Solve for x
    x = 172,628,858.34/19,693.71
  6. Step 6: Final answer
    x = 8,765.69

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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.