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Finding the Fourth Proportional to 12,175.44, 18,263.16 and 3,410.61

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Solution

The fourth proportional to 12,175.44, 18,263.16 and 3,410.61 is: 5,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.44 : 18,263.16 = 3,410.61 : x
  2. Step 2: Convert to fraction form
    12,175.44/18,263.16 = 3,410.61/x
  3. Step 3: Cross multiply
    12,175.44x = 18,263.16 × 3,410.61
  4. Step 4: Simplify right side
    12,175.44x = 62,288,516.13
  5. Step 5: Solve for x
    x = 62,288,516.13/12,175.44
  6. Step 6: Final answer
    x = 5,115.92

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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.