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Finding the Fourth Proportional to 31,596.20, 43,602.96 and 17,255.66

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Solution

The fourth proportional to 31,596.20, 43,602.96 and 17,255.66 is: 23,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.20 : 43,602.96 = 17,255.66 : x
  2. Step 2: Convert to fraction form
    31,596.20/43,602.96 = 17,255.66/x
  3. Step 3: Cross multiply
    31,596.20x = 43,602.96 × 17,255.66
  4. Step 4: Simplify right side
    31,596.20x = 752,397,634.74
  5. Step 5: Solve for x
    x = 752,397,634.74/31,596.20
  6. Step 6: Final answer
    x = 23,812.92

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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.