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Finding the Fourth Proportional to 12,494.50, 18,741.12 and 4,175.38

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Solution

The fourth proportional to 12,494.50, 18,741.12 and 4,175.38 is: 6,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.50 : 18,741.12 = 4,175.38 : x
  2. Step 2: Convert to fraction form
    12,494.50/18,741.12 = 4,175.38/x
  3. Step 3: Cross multiply
    12,494.50x = 18,741.12 × 4,175.38
  4. Step 4: Simplify right side
    12,494.50x = 78,251,297.63
  5. Step 5: Solve for x
    x = 78,251,297.63/12,494.50
  6. Step 6: Final answer
    x = 6,262.86

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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.