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Finding the Fourth Proportional to 17,108, 23,628.48 and 11,509.28

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Solution

The fourth proportional to 17,108, 23,628.48 and 11,509.28 is: 15,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,108 : 23,628.48 = 11,509.28 : x
  2. Step 2: Convert to fraction form
    17,108/23,628.48 = 11,509.28/x
  3. Step 3: Cross multiply
    17,108x = 23,628.48 × 11,509.28
  4. Step 4: Simplify right side
    17,108x = 271,946,792.29
  5. Step 5: Solve for x
    x = 271,946,792.29/17,108
  6. Step 6: Final answer
    x = 15,895.88

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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.