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Finding the Fourth Proportional to 20,177.80, 27,840.78 and 12,218.34

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Solution

The fourth proportional to 20,177.80, 27,840.78 and 12,218.34 is: 16,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.80 : 27,840.78 = 12,218.34 : x
  2. Step 2: Convert to fraction form
    20,177.80/27,840.78 = 12,218.34/x
  3. Step 3: Cross multiply
    20,177.80x = 27,840.78 × 12,218.34
  4. Step 4: Simplify right side
    20,177.80x = 340,168,115.91
  5. Step 5: Solve for x
    x = 340,168,115.91/20,177.80
  6. Step 6: Final answer
    x = 16,858.53

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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.