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Finding the Fourth Proportional to 29,832.89, 41,169.89 and 16,404.71

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Solution

The fourth proportional to 29,832.89, 41,169.89 and 16,404.71 is: 22,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.89 : 41,169.89 = 16,404.71 : x
  2. Step 2: Convert to fraction form
    29,832.89/41,169.89 = 16,404.71/x
  3. Step 3: Cross multiply
    29,832.89x = 41,169.89 × 16,404.71
  4. Step 4: Simplify right side
    29,832.89x = 675,379,941.34
  5. Step 5: Solve for x
    x = 675,379,941.34/29,832.89
  6. Step 6: Final answer
    x = 22,638.77

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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.