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Finding the Fourth Proportional to 22,923, 31,634.22 and 12,987

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Solution

The fourth proportional to 22,923, 31,634.22 and 12,987 is: 17,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,923 : 31,634.22 = 12,987 : x
  2. Step 2: Convert to fraction form
    22,923/31,634.22 = 12,987/x
  3. Step 3: Cross multiply
    22,923x = 31,634.22 × 12,987
  4. Step 4: Simplify right side
    22,923x = 410,833,615.14
  5. Step 5: Solve for x
    x = 410,833,615.14/22,923
  6. Step 6: Final answer
    x = 17,922.33

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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.