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Finding the Fourth Proportional to 19,462.92, 29,183.91 and 6,133.43

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Solution

The fourth proportional to 19,462.92, 29,183.91 and 6,133.43 is: 9,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462.92 : 29,183.91 = 6,133.43 : x
  2. Step 2: Convert to fraction form
    19,462.92/29,183.91 = 6,133.43/x
  3. Step 3: Cross multiply
    19,462.92x = 29,183.91 × 6,133.43
  4. Step 4: Simplify right side
    19,462.92x = 178,997,323.19
  5. Step 5: Solve for x
    x = 178,997,323.19/19,462.92
  6. Step 6: Final answer
    x = 9,196.84

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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.