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Finding the Fourth Proportional to 17,967.93, 24,796.02 and 10,414.80

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Solution

The fourth proportional to 17,967.93, 24,796.02 and 10,414.80 is: 14,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.93 : 24,796.02 = 10,414.80 : x
  2. Step 2: Convert to fraction form
    17,967.93/24,796.02 = 10,414.80/x
  3. Step 3: Cross multiply
    17,967.93x = 24,796.02 × 10,414.80
  4. Step 4: Simplify right side
    17,967.93x = 258,245,589.10
  5. Step 5: Solve for x
    x = 258,245,589.10/17,967.93
  6. Step 6: Final answer
    x = 14,372.58

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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.