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Finding the Fourth Proportional to 26,994.42, 40,491.62 and 13,838.40

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Solution

The fourth proportional to 26,994.42, 40,491.62 and 13,838.40 is: 20,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994.42 : 40,491.62 = 13,838.40 : x
  2. Step 2: Convert to fraction form
    26,994.42/40,491.62 = 13,838.40/x
  3. Step 3: Cross multiply
    26,994.42x = 40,491.62 × 13,838.40
  4. Step 4: Simplify right side
    26,994.42x = 560,339,234.21
  5. Step 5: Solve for x
    x = 560,339,234.21/26,994.42
  6. Step 6: Final answer
    x = 20,757.59

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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.