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Finding the Fourth Proportional to 11,796.12, 16,260.84 and 9,696.60

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Solution

The fourth proportional to 11,796.12, 16,260.84 and 9,696.60 is: 13,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.12 : 16,260.84 = 9,696.60 : x
  2. Step 2: Convert to fraction form
    11,796.12/16,260.84 = 9,696.60/x
  3. Step 3: Cross multiply
    11,796.12x = 16,260.84 × 9,696.60
  4. Step 4: Simplify right side
    11,796.12x = 157,674,861.14
  5. Step 5: Solve for x
    x = 157,674,861.14/11,796.12
  6. Step 6: Final answer
    x = 13,366.67

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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.