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Finding the Fourth Proportional to 17,090.56, 23,584.02 and 10,717.42

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Solution

The fourth proportional to 17,090.56, 23,584.02 and 10,717.42 is: 14,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,090.56 : 23,584.02 = 10,717.42 : x
  2. Step 2: Convert to fraction form
    17,090.56/23,584.02 = 10,717.42/x
  3. Step 3: Cross multiply
    17,090.56x = 23,584.02 × 10,717.42
  4. Step 4: Simplify right side
    17,090.56x = 252,759,847.63
  5. Step 5: Solve for x
    x = 252,759,847.63/17,090.56
  6. Step 6: Final answer
    x = 14,789.44

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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.