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Finding the Fourth Proportional to 19,785.33, 29,680.92 and 5,745.47

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Solution

The fourth proportional to 19,785.33, 29,680.92 and 5,745.47 is: 8,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.33 : 29,680.92 = 5,745.47 : x
  2. Step 2: Convert to fraction form
    19,785.33/29,680.92 = 5,745.47/x
  3. Step 3: Cross multiply
    19,785.33x = 29,680.92 × 5,745.47
  4. Step 4: Simplify right side
    19,785.33x = 170,530,687.03
  5. Step 5: Solve for x
    x = 170,530,687.03/19,785.33
  6. Step 6: Final answer
    x = 8,619.05

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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.