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Finding the Fourth Proportional to 26,782.56, 40,173.84 and 11,188.80

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Solution

The fourth proportional to 26,782.56, 40,173.84 and 11,188.80 is: 16,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.56 : 40,173.84 = 11,188.80 : x
  2. Step 2: Convert to fraction form
    26,782.56/40,173.84 = 11,188.80/x
  3. Step 3: Cross multiply
    26,782.56x = 40,173.84 × 11,188.80
  4. Step 4: Simplify right side
    26,782.56x = 449,497,060.99
  5. Step 5: Solve for x
    x = 449,497,060.99/26,782.56
  6. Step 6: Final answer
    x = 16,783.20

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