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Finding the Fourth Proportional to 21,500.75, 32,242.84 and 8,351.39

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Solution

The fourth proportional to 21,500.75, 32,242.84 and 8,351.39 is: 12,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.75 : 32,242.84 = 8,351.39 : x
  2. Step 2: Convert to fraction form
    21,500.75/32,242.84 = 8,351.39/x
  3. Step 3: Cross multiply
    21,500.75x = 32,242.84 × 8,351.39
  4. Step 4: Simplify right side
    21,500.75x = 269,272,531.55
  5. Step 5: Solve for x
    x = 269,272,531.55/21,500.75
  6. Step 6: Final answer
    x = 12,523.87

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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.