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Finding the Fourth Proportional to 31,596.67, 43,602.26 and 17,449.21

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Solution

The fourth proportional to 31,596.67, 43,602.26 and 17,449.21 is: 24,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.67 : 43,602.26 = 17,449.21 : x
  2. Step 2: Convert to fraction form
    31,596.67/43,602.26 = 17,449.21/x
  3. Step 3: Cross multiply
    31,596.67x = 43,602.26 × 17,449.21
  4. Step 4: Simplify right side
    31,596.67x = 760,824,991.21
  5. Step 5: Solve for x
    x = 760,824,991.21/31,596.67
  6. Step 6: Final answer
    x = 24,079.28

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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.