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Finding the Fourth Proportional to 21,794.35, 32,694.79 and 9,314.31

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Solution

The fourth proportional to 21,794.35, 32,694.79 and 9,314.31 is: 13,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.35 : 32,694.79 = 9,314.31 : x
  2. Step 2: Convert to fraction form
    21,794.35/32,694.79 = 9,314.31/x
  3. Step 3: Cross multiply
    21,794.35x = 32,694.79 × 9,314.31
  4. Step 4: Simplify right side
    21,794.35x = 304,529,409.44
  5. Step 5: Solve for x
    x = 304,529,409.44/21,794.35
  6. Step 6: Final answer
    x = 13,972.86

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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.