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Finding the Fourth Proportional to 21,161.75, 31,737.38 and 8,685.32

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Solution

The fourth proportional to 21,161.75, 31,737.38 and 8,685.32 is: 13,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.75 : 31,737.38 = 8,685.32 : x
  2. Step 2: Convert to fraction form
    21,161.75/31,737.38 = 8,685.32/x
  3. Step 3: Cross multiply
    21,161.75x = 31,737.38 × 8,685.32
  4. Step 4: Simplify right side
    21,161.75x = 275,649,099.15
  5. Step 5: Solve for x
    x = 275,649,099.15/21,161.75
  6. Step 6: Final answer
    x = 13,025.82

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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.