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Finding the Fourth Proportional to 21,546.24, 32,325 and 6,755.64

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Solution

The fourth proportional to 21,546.24, 32,325 and 6,755.64 is: 10,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,546.24 : 32,325 = 6,755.64 : x
  2. Step 2: Convert to fraction form
    21,546.24/32,325 = 6,755.64/x
  3. Step 3: Cross multiply
    21,546.24x = 32,325 × 6,755.64
  4. Step 4: Simplify right side
    21,546.24x = 218,376,063
  5. Step 5: Solve for x
    x = 218,376,063/21,546.24
  6. Step 6: Final answer
    x = 10,135.23

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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.