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Finding the Fourth Proportional to 14,286.29, 19,711.89 and 8,621.96

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Solution

The fourth proportional to 14,286.29, 19,711.89 and 8,621.96 is: 11,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.29 : 19,711.89 = 8,621.96 : x
  2. Step 2: Convert to fraction form
    14,286.29/19,711.89 = 8,621.96/x
  3. Step 3: Cross multiply
    14,286.29x = 19,711.89 × 8,621.96
  4. Step 4: Simplify right side
    14,286.29x = 169,955,028.54
  5. Step 5: Solve for x
    x = 169,955,028.54/14,286.29
  6. Step 6: Final answer
    x = 11,896.38

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Why These Related Problems?

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