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Finding the Fourth Proportional to 29,782.74, 41,100.09 and 16,353.54

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Solution

The fourth proportional to 29,782.74, 41,100.09 and 16,353.54 is: 22,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.74 : 41,100.09 = 16,353.54 : x
  2. Step 2: Convert to fraction form
    29,782.74/41,100.09 = 16,353.54/x
  3. Step 3: Cross multiply
    29,782.74x = 41,100.09 × 16,353.54
  4. Step 4: Simplify right side
    29,782.74x = 672,131,965.82
  5. Step 5: Solve for x
    x = 672,131,965.82/29,782.74
  6. Step 6: Final answer
    x = 22,567.84

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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.