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Finding the Fourth Proportional to 17,256, 25,892.64 and 7,896

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Solution

The fourth proportional to 17,256, 25,892.64 and 7,896 is: 11,847.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,256 : 25,892.64 = 7,896 : x
  2. Step 2: Convert to fraction form
    17,256/25,892.64 = 7,896/x
  3. Step 3: Cross multiply
    17,256x = 25,892.64 × 7,896
  4. Step 4: Simplify right side
    17,256x = 204,448,285.44
  5. Step 5: Solve for x
    x = 204,448,285.44/17,256
  6. Step 6: Final answer
    x = 11,847.95

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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.