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Finding the Fourth Proportional to 26,782.31, 40,175.33 and 11,199.94

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Solution

The fourth proportional to 26,782.31, 40,175.33 and 11,199.94 is: 16,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.31 : 40,175.33 = 11,199.94 : x
  2. Step 2: Convert to fraction form
    26,782.31/40,175.33 = 11,199.94/x
  3. Step 3: Cross multiply
    26,782.31x = 40,175.33 × 11,199.94
  4. Step 4: Simplify right side
    26,782.31x = 449,961,129.04
  5. Step 5: Solve for x
    x = 449,961,129.04/26,782.31
  6. Step 6: Final answer
    x = 16,800.68

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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.