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Finding the Fourth Proportional to 12,198.52, 18,294.14 and 5,178.44

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Solution

The fourth proportional to 12,198.52, 18,294.14 and 5,178.44 is: 7,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.52 : 18,294.14 = 5,178.44 : x
  2. Step 2: Convert to fraction form
    12,198.52/18,294.14 = 5,178.44/x
  3. Step 3: Cross multiply
    12,198.52x = 18,294.14 × 5,178.44
  4. Step 4: Simplify right side
    12,198.52x = 94,735,106.34
  5. Step 5: Solve for x
    x = 94,735,106.34/12,198.52
  6. Step 6: Final answer
    x = 7,766.11

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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.