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Finding the Fourth Proportional to 21,408.62, 32,121.03 and 8,261.78

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Solution

The fourth proportional to 21,408.62, 32,121.03 and 8,261.78 is: 12,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.62 : 32,121.03 = 8,261.78 : x
  2. Step 2: Convert to fraction form
    21,408.62/32,121.03 = 8,261.78/x
  3. Step 3: Cross multiply
    21,408.62x = 32,121.03 × 8,261.78
  4. Step 4: Simplify right side
    21,408.62x = 265,376,883.23
  5. Step 5: Solve for x
    x = 265,376,883.23/21,408.62
  6. Step 6: Final answer
    x = 12,395.80

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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.