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Finding the Fourth Proportional to 17,255.43, 23,813.34 and 9,704.14

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Solution

The fourth proportional to 17,255.43, 23,813.34 and 9,704.14 is: 13,392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.43 : 23,813.34 = 9,704.14 : x
  2. Step 2: Convert to fraction form
    17,255.43/23,813.34 = 9,704.14/x
  3. Step 3: Cross multiply
    17,255.43x = 23,813.34 × 9,704.14
  4. Step 4: Simplify right side
    17,255.43x = 231,087,985.23
  5. Step 5: Solve for x
    x = 231,087,985.23/17,255.43
  6. Step 6: Final answer
    x = 13,392.19

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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.