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Finding the Fourth Proportional to 20,141.66, 27,797.37 and 12,185.84

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Solution

The fourth proportional to 20,141.66, 27,797.37 and 12,185.84 is: 16,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.66 : 27,797.37 = 12,185.84 : x
  2. Step 2: Convert to fraction form
    20,141.66/27,797.37 = 12,185.84/x
  3. Step 3: Cross multiply
    20,141.66x = 27,797.37 × 12,185.84
  4. Step 4: Simplify right side
    20,141.66x = 338,734,303.24
  5. Step 5: Solve for x
    x = 338,734,303.24/20,141.66
  6. Step 6: Final answer
    x = 16,817.60

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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.