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Finding the Fourth Proportional to 31,665.39, 43,698.06 and 17,517.93

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Solution

The fourth proportional to 31,665.39, 43,698.06 and 17,517.93 is: 24,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.39 : 43,698.06 = 17,517.93 : x
  2. Step 2: Convert to fraction form
    31,665.39/43,698.06 = 17,517.93/x
  3. Step 3: Cross multiply
    31,665.39x = 43,698.06 × 17,517.93
  4. Step 4: Simplify right side
    31,665.39x = 765,499,556.22
  5. Step 5: Solve for x
    x = 765,499,556.22/31,665.39
  6. Step 6: Final answer
    x = 24,174.64

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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.