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Finding the Fourth Proportional to 29,832.70, 41,169.28 and 16,404.82

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Solution

The fourth proportional to 29,832.70, 41,169.28 and 16,404.82 is: 22,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.70 : 41,169.28 = 16,404.82 : x
  2. Step 2: Convert to fraction form
    29,832.70/41,169.28 = 16,404.82/x
  3. Step 3: Cross multiply
    29,832.70x = 41,169.28 × 16,404.82
  4. Step 4: Simplify right side
    29,832.70x = 675,374,627.93
  5. Step 5: Solve for x
    x = 675,374,627.93/29,832.70
  6. Step 6: Final answer
    x = 22,638.74

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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.