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Finding the Fourth Proportional to 19,829.73, 29,739.98 and 5,786.81

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Solution

The fourth proportional to 19,829.73, 29,739.98 and 5,786.81 is: 8,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829.73 : 29,739.98 = 5,786.81 : x
  2. Step 2: Convert to fraction form
    19,829.73/29,739.98 = 5,786.81/x
  3. Step 3: Cross multiply
    19,829.73x = 29,739.98 × 5,786.81
  4. Step 4: Simplify right side
    19,829.73x = 172,099,436.03
  5. Step 5: Solve for x
    x = 172,099,436.03/19,829.73
  6. Step 6: Final answer
    x = 8,678.86

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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.