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Finding the Fourth Proportional to 12,198.56, 18,290.97 and 5,616.59

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Solution

The fourth proportional to 12,198.56, 18,290.97 and 5,616.59 is: 8,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.56 : 18,290.97 = 5,616.59 : x
  2. Step 2: Convert to fraction form
    12,198.56/18,290.97 = 5,616.59/x
  3. Step 3: Cross multiply
    12,198.56x = 18,290.97 × 5,616.59
  4. Step 4: Simplify right side
    12,198.56x = 102,732,787.74
  5. Step 5: Solve for x
    x = 102,732,787.74/12,198.56
  6. Step 6: Final answer
    x = 8,421.72

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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.