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Finding the Fourth Proportional to 21,121.25, 31,682.46 and 7,970.69

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Solution

The fourth proportional to 21,121.25, 31,682.46 and 7,970.69 is: 11,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121.25 : 31,682.46 = 7,970.69 : x
  2. Step 2: Convert to fraction form
    21,121.25/31,682.46 = 7,970.69/x
  3. Step 3: Cross multiply
    21,121.25x = 31,682.46 × 7,970.69
  4. Step 4: Simplify right side
    21,121.25x = 252,530,908.69
  5. Step 5: Solve for x
    x = 252,530,908.69/21,121.25
  6. Step 6: Final answer
    x = 11,956.25

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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.