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Finding the Fourth Proportional to 31,661.64, 43,692.89 and 17,514.18

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Solution

The fourth proportional to 31,661.64, 43,692.89 and 17,514.18 is: 24,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.64 : 43,692.89 = 17,514.18 : x
  2. Step 2: Convert to fraction form
    31,661.64/43,692.89 = 17,514.18/x
  3. Step 3: Cross multiply
    31,661.64x = 43,692.89 × 17,514.18
  4. Step 4: Simplify right side
    31,661.64x = 765,245,052.61
  5. Step 5: Solve for x
    x = 765,245,052.61/31,661.64
  6. Step 6: Final answer
    x = 24,169.47

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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.