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Finding the Fourth Proportional to 12,198.57, 18,304.78 and 5,624.76

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Solution

The fourth proportional to 12,198.57, 18,304.78 and 5,624.76 is: 8,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.57 : 18,304.78 = 5,624.76 : x
  2. Step 2: Convert to fraction form
    12,198.57/18,304.78 = 5,624.76/x
  3. Step 3: Cross multiply
    12,198.57x = 18,304.78 × 5,624.76
  4. Step 4: Simplify right side
    12,198.57x = 102,959,956.52
  5. Step 5: Solve for x
    x = 102,959,956.52/12,198.57
  6. Step 6: Final answer
    x = 8,440.33

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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.