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Finding the Fourth Proportional to 20,138.80, 30,219.04 and 11,835.02

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Solution

The fourth proportional to 20,138.80, 30,219.04 and 11,835.02 is: 17,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.80 : 30,219.04 = 11,835.02 : x
  2. Step 2: Convert to fraction form
    20,138.80/30,219.04 = 11,835.02/x
  3. Step 3: Cross multiply
    20,138.80x = 30,219.04 × 11,835.02
  4. Step 4: Simplify right side
    20,138.80x = 357,642,942.78
  5. Step 5: Solve for x
    x = 357,642,942.78/20,138.80
  6. Step 6: Final answer
    x = 17,758.90

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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.