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Finding the Fourth Proportional to 22,448.26, 30,979.95 and 12,378.94

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Solution

The fourth proportional to 22,448.26, 30,979.95 and 12,378.94 is: 17,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.26 : 30,979.95 = 12,378.94 : x
  2. Step 2: Convert to fraction form
    22,448.26/30,979.95 = 12,378.94/x
  3. Step 3: Cross multiply
    22,448.26x = 30,979.95 × 12,378.94
  4. Step 4: Simplify right side
    22,448.26x = 383,498,942.25
  5. Step 5: Solve for x
    x = 383,498,942.25/22,448.26
  6. Step 6: Final answer
    x = 17,083.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.