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Finding the Fourth Proportional to 29,827.54, 41,161.14 and 16,398.82

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Solution

The fourth proportional to 29,827.54, 41,161.14 and 16,398.82 is: 22,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.54 : 41,161.14 = 16,398.82 : x
  2. Step 2: Convert to fraction form
    29,827.54/41,161.14 = 16,398.82/x
  3. Step 3: Cross multiply
    29,827.54x = 41,161.14 × 16,398.82
  4. Step 4: Simplify right side
    29,827.54x = 674,994,125.85
  5. Step 5: Solve for x
    x = 674,994,125.85/29,827.54
  6. Step 6: Final answer
    x = 22,629.90

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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.