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Finding the Fourth Proportional to 13,466.20, 20,202.21 and 4,105.98

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Solution

The fourth proportional to 13,466.20, 20,202.21 and 4,105.98 is: 6,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.20 : 20,202.21 = 4,105.98 : x
  2. Step 2: Convert to fraction form
    13,466.20/20,202.21 = 4,105.98/x
  3. Step 3: Cross multiply
    13,466.20x = 20,202.21 × 4,105.98
  4. Step 4: Simplify right side
    13,466.20x = 82,949,870.22
  5. Step 5: Solve for x
    x = 82,949,870.22/13,466.20
  6. Step 6: Final answer
    x = 6,159.86

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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.