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Finding the Fourth Proportional to 11,896.48, 17,880.36 and 8,025.76

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Solution

The fourth proportional to 11,896.48, 17,880.36 and 8,025.76 is: 12,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.48 : 17,880.36 = 8,025.76 : x
  2. Step 2: Convert to fraction form
    11,896.48/17,880.36 = 8,025.76/x
  3. Step 3: Cross multiply
    11,896.48x = 17,880.36 × 8,025.76
  4. Step 4: Simplify right side
    11,896.48x = 143,503,478.07
  5. Step 5: Solve for x
    x = 143,503,478.07/11,896.48
  6. Step 6: Final answer
    x = 12,062.68

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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.