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Finding the Fourth Proportional to 20,099.87, 30,150.05 and 13,858.20

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Solution

The fourth proportional to 20,099.87, 30,150.05 and 13,858.20 is: 20,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.87 : 30,150.05 = 13,858.20 : x
  2. Step 2: Convert to fraction form
    20,099.87/30,150.05 = 13,858.20/x
  3. Step 3: Cross multiply
    20,099.87x = 30,150.05 × 13,858.20
  4. Step 4: Simplify right side
    20,099.87x = 417,825,353.62
  5. Step 5: Solve for x
    x = 417,825,353.62/20,099.87
  6. Step 6: Final answer
    x = 20,787.47

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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.