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Finding the Fourth Proportional to 29,840.25, 41,179.89 and 16,411.73

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Solution

The fourth proportional to 29,840.25, 41,179.89 and 16,411.73 is: 22,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.25 : 41,179.89 = 16,411.73 : x
  2. Step 2: Convert to fraction form
    29,840.25/41,179.89 = 16,411.73/x
  3. Step 3: Cross multiply
    29,840.25x = 41,179.89 × 16,411.73
  4. Step 4: Simplify right side
    29,840.25x = 675,833,019.84
  5. Step 5: Solve for x
    x = 675,833,019.84/29,840.25
  6. Step 6: Final answer
    x = 22,648.37

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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.