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Finding the Fourth Proportional to 29,708.50, 40,997.73 and 17,772.34

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Solution

The fourth proportional to 29,708.50, 40,997.73 and 17,772.34 is: 24,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,708.50 : 40,997.73 = 17,772.34 : x
  2. Step 2: Convert to fraction form
    29,708.50/40,997.73 = 17,772.34/x
  3. Step 3: Cross multiply
    29,708.50x = 40,997.73 × 17,772.34
  4. Step 4: Simplify right side
    29,708.50x = 728,625,596.79
  5. Step 5: Solve for x
    x = 728,625,596.79/29,708.50
  6. Step 6: Final answer
    x = 24,525.83

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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.