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Finding the Fourth Proportional to 17,348, 23,940.24 and 9,896

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Solution

The fourth proportional to 17,348, 23,940.24 and 9,896 is: 13,656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,348 : 23,940.24 = 9,896 : x
  2. Step 2: Convert to fraction form
    17,348/23,940.24 = 9,896/x
  3. Step 3: Cross multiply
    17,348x = 23,940.24 × 9,896
  4. Step 4: Simplify right side
    17,348x = 236,912,615.04
  5. Step 5: Solve for x
    x = 236,912,615.04/17,348
  6. Step 6: Final answer
    x = 13,656.48

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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.