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Finding the Fourth Proportional to 17,234.78, 23,783.63 and 10,163.48

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Solution

The fourth proportional to 17,234.78, 23,783.63 and 10,163.48 is: 14,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.78 : 23,783.63 = 10,163.48 : x
  2. Step 2: Convert to fraction form
    17,234.78/23,783.63 = 10,163.48/x
  3. Step 3: Cross multiply
    17,234.78x = 23,783.63 × 10,163.48
  4. Step 4: Simplify right side
    17,234.78x = 241,724,278.10
  5. Step 5: Solve for x
    x = 241,724,278.10/17,234.78
  6. Step 6: Final answer
    x = 14,025.38

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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.