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Finding the Fourth Proportional to 17,140.70, 23,654.34 and 10,067.24

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Solution

The fourth proportional to 17,140.70, 23,654.34 and 10,067.24 is: 13,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.70 : 23,654.34 = 10,067.24 : x
  2. Step 2: Convert to fraction form
    17,140.70/23,654.34 = 10,067.24/x
  3. Step 3: Cross multiply
    17,140.70x = 23,654.34 × 10,067.24
  4. Step 4: Simplify right side
    17,140.70x = 238,133,799.55
  5. Step 5: Solve for x
    x = 238,133,799.55/17,140.70
  6. Step 6: Final answer
    x = 13,892.89

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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.