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Finding the Fourth Proportional to 12,119.52, 18,179.28 and 5,198.88

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Solution

The fourth proportional to 12,119.52, 18,179.28 and 5,198.88 is: 7,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.52 : 18,179.28 = 5,198.88 : x
  2. Step 2: Convert to fraction form
    12,119.52/18,179.28 = 5,198.88/x
  3. Step 3: Cross multiply
    12,119.52x = 18,179.28 × 5,198.88
  4. Step 4: Simplify right side
    12,119.52x = 94,511,895.21
  5. Step 5: Solve for x
    x = 94,511,895.21/12,119.52
  6. Step 6: Final answer
    x = 7,798.32

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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.