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Finding the Fourth Proportional to 19,906.81, 27,471.60 and 11,408.74

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Solution

The fourth proportional to 19,906.81, 27,471.60 and 11,408.74 is: 15,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.81 : 27,471.60 = 11,408.74 : x
  2. Step 2: Convert to fraction form
    19,906.81/27,471.60 = 11,408.74/x
  3. Step 3: Cross multiply
    19,906.81x = 27,471.60 × 11,408.74
  4. Step 4: Simplify right side
    19,906.81x = 313,416,341.78
  5. Step 5: Solve for x
    x = 313,416,341.78/19,906.81
  6. Step 6: Final answer
    x = 15,744.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.