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Finding the Fourth Proportional to 17,428.26, 24,051.60 and 9,874.80

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Solution

The fourth proportional to 17,428.26, 24,051.60 and 9,874.80 is: 13,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.26 : 24,051.60 = 9,874.80 : x
  2. Step 2: Convert to fraction form
    17,428.26/24,051.60 = 9,874.80/x
  3. Step 3: Cross multiply
    17,428.26x = 24,051.60 × 9,874.80
  4. Step 4: Simplify right side
    17,428.26x = 237,504,739.68
  5. Step 5: Solve for x
    x = 237,504,739.68/17,428.26
  6. Step 6: Final answer
    x = 13,627.56

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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.