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Finding the Fourth Proportional to 15,786.87, 21,786 and 8,616.84

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Solution

The fourth proportional to 15,786.87, 21,786 and 8,616.84 is: 11,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.87 : 21,786 = 8,616.84 : x
  2. Step 2: Convert to fraction form
    15,786.87/21,786 = 8,616.84/x
  3. Step 3: Cross multiply
    15,786.87x = 21,786 × 8,616.84
  4. Step 4: Simplify right side
    15,786.87x = 187,726,476.24
  5. Step 5: Solve for x
    x = 187,726,476.24/15,786.87
  6. Step 6: Final answer
    x = 11,891.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.