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Finding the Fourth Proportional to 21,858.21, 32,794.20 and 7,817.90

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Solution

The fourth proportional to 21,858.21, 32,794.20 and 7,817.90 is: 11,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.21 : 32,794.20 = 7,817.90 : x
  2. Step 2: Convert to fraction form
    21,858.21/32,794.20 = 7,817.90/x
  3. Step 3: Cross multiply
    21,858.21x = 32,794.20 × 7,817.90
  4. Step 4: Simplify right side
    21,858.21x = 256,381,612.21
  5. Step 5: Solve for x
    x = 256,381,612.21/21,858.21
  6. Step 6: Final answer
    x = 11,729.31

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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.