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Finding the Fourth Proportional to 21,321.60, 31,982.10 and 9,634.80

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Solution

The fourth proportional to 21,321.60, 31,982.10 and 9,634.80 is: 14,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.60 : 31,982.10 = 9,634.80 : x
  2. Step 2: Convert to fraction form
    21,321.60/31,982.10 = 9,634.80/x
  3. Step 3: Cross multiply
    21,321.60x = 31,982.10 × 9,634.80
  4. Step 4: Simplify right side
    21,321.60x = 308,141,137.08
  5. Step 5: Solve for x
    x = 308,141,137.08/21,321.60
  6. Step 6: Final answer
    x = 14,452.06

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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.