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Finding the Fourth Proportional to 21,697.84, 32,546.41 and 6,906.54

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Solution

The fourth proportional to 21,697.84, 32,546.41 and 6,906.54 is: 10,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.84 : 32,546.41 = 6,906.54 : x
  2. Step 2: Convert to fraction form
    21,697.84/32,546.41 = 6,906.54/x
  3. Step 3: Cross multiply
    21,697.84x = 32,546.41 × 6,906.54
  4. Step 4: Simplify right side
    21,697.84x = 224,783,187.30
  5. Step 5: Solve for x
    x = 224,783,187.30/21,697.84
  6. Step 6: Final answer
    x = 10,359.70

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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.