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Finding the Fourth Proportional to 17,314.68, 23,892.24 and 9,760.44

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Solution

The fourth proportional to 17,314.68, 23,892.24 and 9,760.44 is: 13,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.68 : 23,892.24 = 9,760.44 : x
  2. Step 2: Convert to fraction form
    17,314.68/23,892.24 = 9,760.44/x
  3. Step 3: Cross multiply
    17,314.68x = 23,892.24 × 9,760.44
  4. Step 4: Simplify right side
    17,314.68x = 233,198,774.99
  5. Step 5: Solve for x
    x = 233,198,774.99/17,314.68
  6. Step 6: Final answer
    x = 13,468.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.