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Finding the Fourth Proportional to 14,286.88, 21,444.17 and 6,896.54

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Solution

The fourth proportional to 14,286.88, 21,444.17 and 6,896.54 is: 10,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.88 : 21,444.17 = 6,896.54 : x
  2. Step 2: Convert to fraction form
    14,286.88/21,444.17 = 6,896.54/x
  3. Step 3: Cross multiply
    14,286.88x = 21,444.17 × 6,896.54
  4. Step 4: Simplify right side
    14,286.88x = 147,890,576.17
  5. Step 5: Solve for x
    x = 147,890,576.17/14,286.88
  6. Step 6: Final answer
    x = 10,351.50

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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.