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Finding the Fourth Proportional to 11,728.36, 17,583.18 and 8,021.32

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Solution

The fourth proportional to 11,728.36, 17,583.18 and 8,021.32 is: 12,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.36 : 17,583.18 = 8,021.32 : x
  2. Step 2: Convert to fraction form
    11,728.36/17,583.18 = 8,021.32/x
  3. Step 3: Cross multiply
    11,728.36x = 17,583.18 × 8,021.32
  4. Step 4: Simplify right side
    11,728.36x = 141,040,313.40
  5. Step 5: Solve for x
    x = 141,040,313.40/11,728.36
  6. Step 6: Final answer
    x = 12,025.58

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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.