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Finding the Fourth Proportional to 12,196.58, 18,297.12 and 3,878.69

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Solution

The fourth proportional to 12,196.58, 18,297.12 and 3,878.69 is: 5,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.58 : 18,297.12 = 3,878.69 : x
  2. Step 2: Convert to fraction form
    12,196.58/18,297.12 = 3,878.69/x
  3. Step 3: Cross multiply
    12,196.58x = 18,297.12 × 3,878.69
  4. Step 4: Simplify right side
    12,196.58x = 70,968,779.43
  5. Step 5: Solve for x
    x = 70,968,779.43/12,196.58
  6. Step 6: Final answer
    x = 5,818.75

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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.