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Finding the Fourth Proportional to 17,214, 23,755.32 and 9,762

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Solution

The fourth proportional to 17,214, 23,755.32 and 9,762 is: 13,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214 : 23,755.32 = 9,762 : x
  2. Step 2: Convert to fraction form
    17,214/23,755.32 = 9,762/x
  3. Step 3: Cross multiply
    17,214x = 23,755.32 × 9,762
  4. Step 4: Simplify right side
    17,214x = 231,899,433.84
  5. Step 5: Solve for x
    x = 231,899,433.84/17,214
  6. Step 6: Final answer
    x = 13,471.56

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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.