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Finding the Fourth Proportional to 20,155.36, 27,814.80 and 12,200.20

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Solution

The fourth proportional to 20,155.36, 27,814.80 and 12,200.20 is: 16,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.36 : 27,814.80 = 12,200.20 : x
  2. Step 2: Convert to fraction form
    20,155.36/27,814.80 = 12,200.20/x
  3. Step 3: Cross multiply
    20,155.36x = 27,814.80 × 12,200.20
  4. Step 4: Simplify right side
    20,155.36x = 339,346,122.96
  5. Step 5: Solve for x
    x = 339,346,122.96/20,155.36
  6. Step 6: Final answer
    x = 16,836.52

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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.