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Finding the Fourth Proportional to 12,863.99, 19,328.27 and 8,186.03

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Solution

The fourth proportional to 12,863.99, 19,328.27 and 8,186.03 is: 12,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.99 : 19,328.27 = 8,186.03 : x
  2. Step 2: Convert to fraction form
    12,863.99/19,328.27 = 8,186.03/x
  3. Step 3: Cross multiply
    12,863.99x = 19,328.27 × 8,186.03
  4. Step 4: Simplify right side
    12,863.99x = 158,221,660.50
  5. Step 5: Solve for x
    x = 158,221,660.50/12,863.99
  6. Step 6: Final answer
    x = 12,299.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.