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Finding the Fourth Proportional to 13,894.36, 20,842.26 and 7,969.67

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Solution

The fourth proportional to 13,894.36, 20,842.26 and 7,969.67 is: 11,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.36 : 20,842.26 = 7,969.67 : x
  2. Step 2: Convert to fraction form
    13,894.36/20,842.26 = 7,969.67/x
  3. Step 3: Cross multiply
    13,894.36x = 20,842.26 × 7,969.67
  4. Step 4: Simplify right side
    13,894.36x = 166,105,864.53
  5. Step 5: Solve for x
    x = 166,105,864.53/13,894.36
  6. Step 6: Final answer
    x = 11,954.91

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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.