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Finding the Fourth Proportional to 21,584.34, 32,380.49 and 8,435.88

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Solution

The fourth proportional to 21,584.34, 32,380.49 and 8,435.88 is: 12,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.34 : 32,380.49 = 8,435.88 : x
  2. Step 2: Convert to fraction form
    21,584.34/32,380.49 = 8,435.88/x
  3. Step 3: Cross multiply
    21,584.34x = 32,380.49 × 8,435.88
  4. Step 4: Simplify right side
    21,584.34x = 273,157,949.07
  5. Step 5: Solve for x
    x = 273,157,949.07/21,584.34
  6. Step 6: Final answer
    x = 12,655.38

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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.