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Finding the Fourth Proportional to 21,697.34, 32,546.28 and 6,906.20

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Solution

The fourth proportional to 21,697.34, 32,546.28 and 6,906.20 is: 10,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.34 : 32,546.28 = 6,906.20 : x
  2. Step 2: Convert to fraction form
    21,697.34/32,546.28 = 6,906.20/x
  3. Step 3: Cross multiply
    21,697.34x = 32,546.28 × 6,906.20
  4. Step 4: Simplify right side
    21,697.34x = 224,771,118.94
  5. Step 5: Solve for x
    x = 224,771,118.94/21,697.34
  6. Step 6: Final answer
    x = 10,359.39

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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.