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Finding the Fourth Proportional to 17,296, 23,869.60 and 9,844

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Solution

The fourth proportional to 17,296, 23,869.60 and 9,844 is: 13,585.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296 : 23,869.60 = 9,844 : x
  2. Step 2: Convert to fraction form
    17,296/23,869.60 = 9,844/x
  3. Step 3: Cross multiply
    17,296x = 23,869.60 × 9,844
  4. Step 4: Simplify right side
    17,296x = 234,972,342.40
  5. Step 5: Solve for x
    x = 234,972,342.40/17,296
  6. Step 6: Final answer
    x = 13,585.36

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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.