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Finding the Fourth Proportional to 13,729.87, 18,962.78 and 9,245.82

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Solution

The fourth proportional to 13,729.87, 18,962.78 and 9,245.82 is: 12,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.87 : 18,962.78 = 9,245.82 : x
  2. Step 2: Convert to fraction form
    13,729.87/18,962.78 = 9,245.82/x
  3. Step 3: Cross multiply
    13,729.87x = 18,962.78 × 9,245.82
  4. Step 4: Simplify right side
    13,729.87x = 175,326,450.58
  5. Step 5: Solve for x
    x = 175,326,450.58/13,729.87
  6. Step 6: Final answer
    x = 12,769.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.