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Finding the Fourth Proportional to 26,999.88, 40,499.40 and 12,198.45

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Solution

The fourth proportional to 26,999.88, 40,499.40 and 12,198.45 is: 18,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,999.88 : 40,499.40 = 12,198.45 : x
  2. Step 2: Convert to fraction form
    26,999.88/40,499.40 = 12,198.45/x
  3. Step 3: Cross multiply
    26,999.88x = 40,499.40 × 12,198.45
  4. Step 4: Simplify right side
    26,999.88x = 494,029,905.93
  5. Step 5: Solve for x
    x = 494,029,905.93/26,999.88
  6. Step 6: Final answer
    x = 18,297.49

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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.