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Finding the Fourth Proportional to 26,782.32, 40,098.78 and 20,188.56

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Solution

The fourth proportional to 26,782.32, 40,098.78 and 20,188.56 is: 30,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.32 : 40,098.78 = 20,188.56 : x
  2. Step 2: Convert to fraction form
    26,782.32/40,098.78 = 20,188.56/x
  3. Step 3: Cross multiply
    26,782.32x = 40,098.78 × 20,188.56
  4. Step 4: Simplify right side
    26,782.32x = 809,536,625.96
  5. Step 5: Solve for x
    x = 809,536,625.96/26,782.32
  6. Step 6: Final answer
    x = 30,226.53

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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.