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Finding the Fourth Proportional to 17,314.20, 23,892.17 and 9,762.39

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Solution

The fourth proportional to 17,314.20, 23,892.17 and 9,762.39 is: 13,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.20 : 23,892.17 = 9,762.39 : x
  2. Step 2: Convert to fraction form
    17,314.20/23,892.17 = 9,762.39/x
  3. Step 3: Cross multiply
    17,314.20x = 23,892.17 × 9,762.39
  4. Step 4: Simplify right side
    17,314.20x = 233,244,632.67
  5. Step 5: Solve for x
    x = 233,244,632.67/17,314.20
  6. Step 6: Final answer
    x = 13,471.29

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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.