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Finding the Fourth Proportional to 12,283.39, 18,391.74 and 9,636.85

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Solution

The fourth proportional to 12,283.39, 18,391.74 and 9,636.85 is: 14,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.39 : 18,391.74 = 9,636.85 : x
  2. Step 2: Convert to fraction form
    12,283.39/18,391.74 = 9,636.85/x
  3. Step 3: Cross multiply
    12,283.39x = 18,391.74 × 9,636.85
  4. Step 4: Simplify right side
    12,283.39x = 177,238,439.62
  5. Step 5: Solve for x
    x = 177,238,439.62/12,283.39
  6. Step 6: Final answer
    x = 14,429.11

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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.