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Finding the Fourth Proportional to 12,175.96, 18,266.43 and 5,509.26

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Solution

The fourth proportional to 12,175.96, 18,266.43 and 5,509.26 is: 8,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.96 : 18,266.43 = 5,509.26 : x
  2. Step 2: Convert to fraction form
    12,175.96/18,266.43 = 5,509.26/x
  3. Step 3: Cross multiply
    12,175.96x = 18,266.43 × 5,509.26
  4. Step 4: Simplify right side
    12,175.96x = 100,634,512.14
  5. Step 5: Solve for x
    x = 100,634,512.14/12,175.96
  6. Step 6: Final answer
    x = 8,265.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.