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Finding the Fourth Proportional to 21,652.20, 32,453.68 and 9,164.43

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Solution

The fourth proportional to 21,652.20, 32,453.68 and 9,164.43 is: 13,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,652.20 : 32,453.68 = 9,164.43 : x
  2. Step 2: Convert to fraction form
    21,652.20/32,453.68 = 9,164.43/x
  3. Step 3: Cross multiply
    21,652.20x = 32,453.68 × 9,164.43
  4. Step 4: Simplify right side
    21,652.20x = 297,419,478.60
  5. Step 5: Solve for x
    x = 297,419,478.60/21,652.20
  6. Step 6: Final answer
    x = 13,736.22

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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.