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Finding the Fourth Proportional to 20,505.66, 30,768.22 and 12,202.08

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Solution

The fourth proportional to 20,505.66, 30,768.22 and 12,202.08 is: 18,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.66 : 30,768.22 = 12,202.08 : x
  2. Step 2: Convert to fraction form
    20,505.66/30,768.22 = 12,202.08/x
  3. Step 3: Cross multiply
    20,505.66x = 30,768.22 × 12,202.08
  4. Step 4: Simplify right side
    20,505.66x = 375,436,281.90
  5. Step 5: Solve for x
    x = 375,436,281.90/20,505.66
  6. Step 6: Final answer
    x = 18,308.91

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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.