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Finding the Fourth Proportional to 29,871.96, 41,216.70 and 17,289.42

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Solution

The fourth proportional to 29,871.96, 41,216.70 and 17,289.42 is: 23,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,871.96 : 41,216.70 = 17,289.42 : x
  2. Step 2: Convert to fraction form
    29,871.96/41,216.70 = 17,289.42/x
  3. Step 3: Cross multiply
    29,871.96x = 41,216.70 × 17,289.42
  4. Step 4: Simplify right side
    29,871.96x = 712,612,837.31
  5. Step 5: Solve for x
    x = 712,612,837.31/29,871.96
  6. Step 6: Final answer
    x = 23,855.58

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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.