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Finding the Fourth Proportional to 29,942.96, 41,319.56 and 16,514.24

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Solution

The fourth proportional to 29,942.96, 41,319.56 and 16,514.24 is: 22,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.96 : 41,319.56 = 16,514.24 : x
  2. Step 2: Convert to fraction form
    29,942.96/41,319.56 = 16,514.24/x
  3. Step 3: Cross multiply
    29,942.96x = 41,319.56 × 16,514.24
  4. Step 4: Simplify right side
    29,942.96x = 682,361,130.53
  5. Step 5: Solve for x
    x = 682,361,130.53/29,942.96
  6. Step 6: Final answer
    x = 22,788.70

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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.