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Finding the Fourth Proportional to 12,661.93, 18,994.94 and 3,896.84

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Solution

The fourth proportional to 12,661.93, 18,994.94 and 3,896.84 is: 5,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.93 : 18,994.94 = 3,896.84 : x
  2. Step 2: Convert to fraction form
    12,661.93/18,994.94 = 3,896.84/x
  3. Step 3: Cross multiply
    12,661.93x = 18,994.94 × 3,896.84
  4. Step 4: Simplify right side
    12,661.93x = 74,020,284.61
  5. Step 5: Solve for x
    x = 74,020,284.61/12,661.93
  6. Step 6: Final answer
    x = 5,845.89

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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.