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Finding the Fourth Proportional to 16,811.88, 25,194.66 and 8,497.41

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Solution

The fourth proportional to 16,811.88, 25,194.66 and 8,497.41 is: 12,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.88 : 25,194.66 = 8,497.41 : x
  2. Step 2: Convert to fraction form
    16,811.88/25,194.66 = 8,497.41/x
  3. Step 3: Cross multiply
    16,811.88x = 25,194.66 × 8,497.41
  4. Step 4: Simplify right side
    16,811.88x = 214,089,355.83
  5. Step 5: Solve for x
    x = 214,089,355.83/16,811.88
  6. Step 6: Final answer
    x = 12,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.