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Finding the Fourth Proportional to 12,896.16, 19,344.60 and 4,137.60

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Solution

The fourth proportional to 12,896.16, 19,344.60 and 4,137.60 is: 6,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.16 : 19,344.60 = 4,137.60 : x
  2. Step 2: Convert to fraction form
    12,896.16/19,344.60 = 4,137.60/x
  3. Step 3: Cross multiply
    12,896.16x = 19,344.60 × 4,137.60
  4. Step 4: Simplify right side
    12,896.16x = 80,040,216.96
  5. Step 5: Solve for x
    x = 80,040,216.96/12,896.16
  6. Step 6: Final answer
    x = 6,206.52

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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.