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Finding the Fourth Proportional to 26,991.42, 40,475.24 and 12,199.74

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Solution

The fourth proportional to 26,991.42, 40,475.24 and 12,199.74 is: 18,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,991.42 : 40,475.24 = 12,199.74 : x
  2. Step 2: Convert to fraction form
    26,991.42/40,475.24 = 12,199.74/x
  3. Step 3: Cross multiply
    26,991.42x = 40,475.24 × 12,199.74
  4. Step 4: Simplify right side
    26,991.42x = 493,787,404.44
  5. Step 5: Solve for x
    x = 493,787,404.44/26,991.42
  6. Step 6: Final answer
    x = 18,294.24

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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.