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Finding the Fourth Proportional to 13,984.10, 20,974.02 and 6,961.82

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Solution

The fourth proportional to 13,984.10, 20,974.02 and 6,961.82 is: 10,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.10 : 20,974.02 = 6,961.82 : x
  2. Step 2: Convert to fraction form
    13,984.10/20,974.02 = 6,961.82/x
  3. Step 3: Cross multiply
    13,984.10x = 20,974.02 × 6,961.82
  4. Step 4: Simplify right side
    13,984.10x = 146,017,351.92
  5. Step 5: Solve for x
    x = 146,017,351.92/13,984.10
  6. Step 6: Final answer
    x = 10,441.67

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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.