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Finding the Fourth Proportional to 22,448.25, 33,651.99 and 14,103

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Solution

The fourth proportional to 22,448.25, 33,651.99 and 14,103 is: 21,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.25 : 33,651.99 = 14,103 : x
  2. Step 2: Convert to fraction form
    22,448.25/33,651.99 = 14,103/x
  3. Step 3: Cross multiply
    22,448.25x = 33,651.99 × 14,103
  4. Step 4: Simplify right side
    22,448.25x = 474,594,014.97
  5. Step 5: Solve for x
    x = 474,594,014.97/22,448.25
  6. Step 6: Final answer
    x = 21,141.69

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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.