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Finding the Fourth Proportional to 21,906.71, 30,231.86 and 13,408.66

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Solution

The fourth proportional to 21,906.71, 30,231.86 and 13,408.66 is: 18,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.71 : 30,231.86 = 13,408.66 : x
  2. Step 2: Convert to fraction form
    21,906.71/30,231.86 = 13,408.66/x
  3. Step 3: Cross multiply
    21,906.71x = 30,231.86 × 13,408.66
  4. Step 4: Simplify right side
    21,906.71x = 405,368,731.91
  5. Step 5: Solve for x
    x = 405,368,731.91/21,906.71
  6. Step 6: Final answer
    x = 18,504.32

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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.