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Finding the Fourth Proportional to 20,881.85, 31,324.05 and 8,401.85

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Solution

The fourth proportional to 20,881.85, 31,324.05 and 8,401.85 is: 12,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.85 : 31,324.05 = 8,401.85 : x
  2. Step 2: Convert to fraction form
    20,881.85/31,324.05 = 8,401.85/x
  3. Step 3: Cross multiply
    20,881.85x = 31,324.05 × 8,401.85
  4. Step 4: Simplify right side
    20,881.85x = 263,179,969.49
  5. Step 5: Solve for x
    x = 263,179,969.49/20,881.85
  6. Step 6: Final answer
    x = 12,603.29

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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.