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Finding the Fourth Proportional to 11,234.50, 16,825.48 and 8,878.69

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Solution

The fourth proportional to 11,234.50, 16,825.48 and 8,878.69 is: 13,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.50 : 16,825.48 = 8,878.69 : x
  2. Step 2: Convert to fraction form
    11,234.50/16,825.48 = 8,878.69/x
  3. Step 3: Cross multiply
    11,234.50x = 16,825.48 × 8,878.69
  4. Step 4: Simplify right side
    11,234.50x = 149,388,234.96
  5. Step 5: Solve for x
    x = 149,388,234.96/11,234.50
  6. Step 6: Final answer
    x = 13,297.28

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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.