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Finding the Fourth Proportional to 17,578.21, 24,267.96 and 11,627.14

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Solution

The fourth proportional to 17,578.21, 24,267.96 and 11,627.14 is: 16,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.21 : 24,267.96 = 11,627.14 : x
  2. Step 2: Convert to fraction form
    17,578.21/24,267.96 = 11,627.14/x
  3. Step 3: Cross multiply
    17,578.21x = 24,267.96 × 11,627.14
  4. Step 4: Simplify right side
    17,578.21x = 282,166,968.43
  5. Step 5: Solve for x
    x = 282,166,968.43/17,578.21
  6. Step 6: Final answer
    x = 16,052.09

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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.