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Finding the Fourth Proportional to 22,446.74, 30,976.32 and 12,375.60

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Solution

The fourth proportional to 22,446.74, 30,976.32 and 12,375.60 is: 17,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.74 : 30,976.32 = 12,375.60 : x
  2. Step 2: Convert to fraction form
    22,446.74/30,976.32 = 12,375.60/x
  3. Step 3: Cross multiply
    22,446.74x = 30,976.32 × 12,375.60
  4. Step 4: Simplify right side
    22,446.74x = 383,350,650.28
  5. Step 5: Solve for x
    x = 383,350,650.28/22,446.74
  6. Step 6: Final answer
    x = 17,078.24

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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.