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Finding the Fourth Proportional to 17,235.78, 23,785.23 and 9,682.23

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Solution

The fourth proportional to 17,235.78, 23,785.23 and 9,682.23 is: 13,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.78 : 23,785.23 = 9,682.23 : x
  2. Step 2: Convert to fraction form
    17,235.78/23,785.23 = 9,682.23/x
  3. Step 3: Cross multiply
    17,235.78x = 23,785.23 × 9,682.23
  4. Step 4: Simplify right side
    17,235.78x = 230,294,067.46
  5. Step 5: Solve for x
    x = 230,294,067.46/17,235.78
  6. Step 6: Final answer
    x = 13,361.40

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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.