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Finding the Fourth Proportional to 16,896, 25,344.09 and 4,584

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Solution

The fourth proportional to 16,896, 25,344.09 and 4,584 is: 6,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,896 : 25,344.09 = 4,584 : x
  2. Step 2: Convert to fraction form
    16,896/25,344.09 = 4,584/x
  3. Step 3: Cross multiply
    16,896x = 25,344.09 × 4,584
  4. Step 4: Simplify right side
    16,896x = 116,177,308.56
  5. Step 5: Solve for x
    x = 116,177,308.56/16,896
  6. Step 6: Final answer
    x = 6,876.02

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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.