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Finding the Fourth Proportional to 22,612.75, 31,205.60 and 12,676.75

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Solution

The fourth proportional to 22,612.75, 31,205.60 and 12,676.75 is: 17,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.75 : 31,205.60 = 12,676.75 : x
  2. Step 2: Convert to fraction form
    22,612.75/31,205.60 = 12,676.75/x
  3. Step 3: Cross multiply
    22,612.75x = 31,205.60 × 12,676.75
  4. Step 4: Simplify right side
    22,612.75x = 395,585,589.80
  5. Step 5: Solve for x
    x = 395,585,589.80/22,612.75
  6. Step 6: Final answer
    x = 17,493.92

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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.