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Finding the Fourth Proportional to 16,571.54, 24,849.99 and 8,778.50

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Solution

The fourth proportional to 16,571.54, 24,849.99 and 8,778.50 is: 13,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,571.54 : 24,849.99 = 8,778.50 : x
  2. Step 2: Convert to fraction form
    16,571.54/24,849.99 = 8,778.50/x
  3. Step 3: Cross multiply
    16,571.54x = 24,849.99 × 8,778.50
  4. Step 4: Simplify right side
    16,571.54x = 218,145,637.22
  5. Step 5: Solve for x
    x = 218,145,637.22/16,571.54
  6. Step 6: Final answer
    x = 13,163.87

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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.