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Finding the Fourth Proportional to 29,840.13, 41,180.41 and 16,412.40

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Solution

The fourth proportional to 29,840.13, 41,180.41 and 16,412.40 is: 22,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840.13 : 41,180.41 = 16,412.40 : x
  2. Step 2: Convert to fraction form
    29,840.13/41,180.41 = 16,412.40/x
  3. Step 3: Cross multiply
    29,840.13x = 41,180.41 × 16,412.40
  4. Step 4: Simplify right side
    29,840.13x = 675,869,361.08
  5. Step 5: Solve for x
    x = 675,869,361.08/29,840.13
  6. Step 6: Final answer
    x = 22,649.68

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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.