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Finding the Fourth Proportional to 22,447.44, 30,976.02 and 12,375.96

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Solution

The fourth proportional to 22,447.44, 30,976.02 and 12,375.96 is: 17,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.44 : 30,976.02 = 12,375.96 : x
  2. Step 2: Convert to fraction form
    22,447.44/30,976.02 = 12,375.96/x
  3. Step 3: Cross multiply
    22,447.44x = 30,976.02 × 12,375.96
  4. Step 4: Simplify right side
    22,447.44x = 383,357,984.48
  5. Step 5: Solve for x
    x = 383,357,984.48/22,447.44
  6. Step 6: Final answer
    x = 17,078.03

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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.