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Finding the Fourth Proportional to 17,194.77, 23,728.83 and 10,024.17

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Solution

The fourth proportional to 17,194.77, 23,728.83 and 10,024.17 is: 13,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.77 : 23,728.83 = 10,024.17 : x
  2. Step 2: Convert to fraction form
    17,194.77/23,728.83 = 10,024.17/x
  3. Step 3: Cross multiply
    17,194.77x = 23,728.83 × 10,024.17
  4. Step 4: Simplify right side
    17,194.77x = 237,861,825.82
  5. Step 5: Solve for x
    x = 237,861,825.82/17,194.77
  6. Step 6: Final answer
    x = 13,833.38

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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.