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Finding the Fourth Proportional to 21,635.10, 32,460.42 and 8,496.42

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Solution

The fourth proportional to 21,635.10, 32,460.42 and 8,496.42 is: 12,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.10 : 32,460.42 = 8,496.42 : x
  2. Step 2: Convert to fraction form
    21,635.10/32,460.42 = 8,496.42/x
  3. Step 3: Cross multiply
    21,635.10x = 32,460.42 × 8,496.42
  4. Step 4: Simplify right side
    21,635.10x = 275,797,361.70
  5. Step 5: Solve for x
    x = 275,797,361.70/21,635.10
  6. Step 6: Final answer
    x = 12,747.68

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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.