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Finding the Fourth Proportional to 12,896.45, 19,388.42 and 10,297.16

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Solution

The fourth proportional to 12,896.45, 19,388.42 and 10,297.16 is: 15,480.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.45 : 19,388.42 = 10,297.16 : x
  2. Step 2: Convert to fraction form
    12,896.45/19,388.42 = 10,297.16/x
  3. Step 3: Cross multiply
    12,896.45x = 19,388.42 × 10,297.16
  4. Step 4: Simplify right side
    12,896.45x = 199,645,611.40
  5. Step 5: Solve for x
    x = 199,645,611.40/12,896.45
  6. Step 6: Final answer
    x = 15,480.66

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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.