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Finding the Fourth Proportional to 12,198.71, 18,307.33 and 8,448.39

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Solution

The fourth proportional to 12,198.71, 18,307.33 and 8,448.39 is: 12,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.71 : 18,307.33 = 8,448.39 : x
  2. Step 2: Convert to fraction form
    12,198.71/18,307.33 = 8,448.39/x
  3. Step 3: Cross multiply
    12,198.71x = 18,307.33 × 8,448.39
  4. Step 4: Simplify right side
    12,198.71x = 154,667,463.70
  5. Step 5: Solve for x
    x = 154,667,463.70/12,198.71
  6. Step 6: Final answer
    x = 12,679.00

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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.