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Finding the Fourth Proportional to 12,196.44, 18,294.57 and 4,297.14

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Solution

The fourth proportional to 12,196.44, 18,294.57 and 4,297.14 is: 6,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.44 : 18,294.57 = 4,297.14 : x
  2. Step 2: Convert to fraction form
    12,196.44/18,294.57 = 4,297.14/x
  3. Step 3: Cross multiply
    12,196.44x = 18,294.57 × 4,297.14
  4. Step 4: Simplify right side
    12,196.44x = 78,614,328.53
  5. Step 5: Solve for x
    x = 78,614,328.53/12,196.44
  6. Step 6: Final answer
    x = 6,445.68

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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.