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Finding the Fourth Proportional to 17,238.30, 23,791.95 and 10,164.30

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Solution

The fourth proportional to 17,238.30, 23,791.95 and 10,164.30 is: 14,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238.30 : 23,791.95 = 10,164.30 : x
  2. Step 2: Convert to fraction form
    17,238.30/23,791.95 = 10,164.30/x
  3. Step 3: Cross multiply
    17,238.30x = 23,791.95 × 10,164.30
  4. Step 4: Simplify right side
    17,238.30x = 241,828,517.39
  5. Step 5: Solve for x
    x = 241,828,517.39/17,238.30
  6. Step 6: Final answer
    x = 14,028.56

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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.