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Finding the Fourth Proportional to 21,067, 31,609.73 and 9,981.61

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Solution

The fourth proportional to 21,067, 31,609.73 and 9,981.61 is: 14,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067 : 31,609.73 = 9,981.61 : x
  2. Step 2: Convert to fraction form
    21,067/31,609.73 = 9,981.61/x
  3. Step 3: Cross multiply
    21,067x = 31,609.73 × 9,981.61
  4. Step 4: Simplify right side
    21,067x = 315,515,997.07
  5. Step 5: Solve for x
    x = 315,515,997.07/21,067
  6. Step 6: Final answer
    x = 14,976.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.