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Finding the Fourth Proportional to 17,208, 23,749.92 and 9,760.32

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Solution

The fourth proportional to 17,208, 23,749.92 and 9,760.32 is: 13,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,208 : 23,749.92 = 9,760.32 : x
  2. Step 2: Convert to fraction form
    17,208/23,749.92 = 9,760.32/x
  3. Step 3: Cross multiply
    17,208x = 23,749.92 × 9,760.32
  4. Step 4: Simplify right side
    17,208x = 231,806,819.17
  5. Step 5: Solve for x
    x = 231,806,819.17/17,208
  6. Step 6: Final answer
    x = 13,470.88

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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.