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Finding the Fourth Proportional to 17,203, 23,740.14 and 9,751

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Solution

The fourth proportional to 17,203, 23,740.14 and 9,751 is: 13,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,203 : 23,740.14 = 9,751 : x
  2. Step 2: Convert to fraction form
    17,203/23,740.14 = 9,751/x
  3. Step 3: Cross multiply
    17,203x = 23,740.14 × 9,751
  4. Step 4: Simplify right side
    17,203x = 231,490,105.14
  5. Step 5: Solve for x
    x = 231,490,105.14/17,203
  6. Step 6: Final answer
    x = 13,456.38

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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.