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Finding the Fourth Proportional to 29,840.96, 41,181.44 and 16,412.80

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Solution

The fourth proportional to 29,840.96, 41,181.44 and 16,412.80 is: 22,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.96 : 41,181.44 = 16,412.80 : x
  2. Step 2: Convert to fraction form
    29,840.96/41,181.44 = 16,412.80/x
  3. Step 3: Cross multiply
    29,840.96x = 41,181.44 × 16,412.80
  4. Step 4: Simplify right side
    29,840.96x = 675,902,738.43
  5. Step 5: Solve for x
    x = 675,902,738.43/29,840.96
  6. Step 6: Final answer
    x = 22,650.17

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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.