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Finding the Fourth Proportional to 21,508.40, 32,272.10 and 8,361.80

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Solution

The fourth proportional to 21,508.40, 32,272.10 and 8,361.80 is: 12,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,508.40 : 32,272.10 = 8,361.80 : x
  2. Step 2: Convert to fraction form
    21,508.40/32,272.10 = 8,361.80/x
  3. Step 3: Cross multiply
    21,508.40x = 32,272.10 × 8,361.80
  4. Step 4: Simplify right side
    21,508.40x = 269,852,845.78
  5. Step 5: Solve for x
    x = 269,852,845.78/21,508.40
  6. Step 6: Final answer
    x = 12,546.39

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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.