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Finding the Fourth Proportional to 19,022.86, 28,544.24 and 7,786.54

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Solution

The fourth proportional to 19,022.86, 28,544.24 and 7,786.54 is: 11,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,022.86 : 28,544.24 = 7,786.54 : x
  2. Step 2: Convert to fraction form
    19,022.86/28,544.24 = 7,786.54/x
  3. Step 3: Cross multiply
    19,022.86x = 28,544.24 × 7,786.54
  4. Step 4: Simplify right side
    19,022.86x = 222,260,866.53
  5. Step 5: Solve for x
    x = 222,260,866.53/19,022.86
  6. Step 6: Final answer
    x = 11,683.88

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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.