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Finding the Fourth Proportional to 31,091.68, 42,918.96 and 18,514

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Solution

The fourth proportional to 31,091.68, 42,918.96 and 18,514 is: 25,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.68 : 42,918.96 = 18,514 : x
  2. Step 2: Convert to fraction form
    31,091.68/42,918.96 = 18,514/x
  3. Step 3: Cross multiply
    31,091.68x = 42,918.96 × 18,514
  4. Step 4: Simplify right side
    31,091.68x = 794,601,625.44
  5. Step 5: Solve for x
    x = 794,601,625.44/31,091.68
  6. Step 6: Final answer
    x = 25,556.73

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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.