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Finding the Fourth Proportional to 20,391.89, 30,634.74 and 14,401.80

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Solution

The fourth proportional to 20,391.89, 30,634.74 and 14,401.80 is: 21,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,391.89 : 30,634.74 = 14,401.80 : x
  2. Step 2: Convert to fraction form
    20,391.89/30,634.74 = 14,401.80/x
  3. Step 3: Cross multiply
    20,391.89x = 30,634.74 × 14,401.80
  4. Step 4: Simplify right side
    20,391.89x = 441,195,398.53
  5. Step 5: Solve for x
    x = 441,195,398.53/20,391.89
  6. Step 6: Final answer
    x = 21,635.83

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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.