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Finding the Fourth Proportional to 12,661.61, 18,994.57 and 3,896.33

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Solution

The fourth proportional to 12,661.61, 18,994.57 and 3,896.33 is: 5,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.61 : 18,994.57 = 3,896.33 : x
  2. Step 2: Convert to fraction form
    12,661.61/18,994.57 = 3,896.33/x
  3. Step 3: Cross multiply
    12,661.61x = 18,994.57 × 3,896.33
  4. Step 4: Simplify right side
    12,661.61x = 74,009,008.21
  5. Step 5: Solve for x
    x = 74,009,008.21/12,661.61
  6. Step 6: Final answer
    x = 5,845.15

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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.