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Finding the Fourth Proportional to 16,562, 24,850.20 and 8,250.32

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Solution

The fourth proportional to 16,562, 24,850.20 and 8,250.32 is: 12,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562 : 24,850.20 = 8,250.32 : x
  2. Step 2: Convert to fraction form
    16,562/24,850.20 = 8,250.32/x
  3. Step 3: Cross multiply
    16,562x = 24,850.20 × 8,250.32
  4. Step 4: Simplify right side
    16,562x = 205,022,102.06
  5. Step 5: Solve for x
    x = 205,022,102.06/16,562
  6. Step 6: Final answer
    x = 12,379.07

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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.