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Finding the Fourth Proportional to 22,447.67, 30,976.38 and 12,376.22

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Solution

The fourth proportional to 22,447.67, 30,976.38 and 12,376.22 is: 17,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.67 : 30,976.38 = 12,376.22 : x
  2. Step 2: Convert to fraction form
    22,447.67/30,976.38 = 12,376.22/x
  3. Step 3: Cross multiply
    22,447.67x = 30,976.38 × 12,376.22
  4. Step 4: Simplify right side
    22,447.67x = 383,370,338.80
  5. Step 5: Solve for x
    x = 383,370,338.80/22,447.67
  6. Step 6: Final answer
    x = 17,078.41

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Why These Related Problems?

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