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Finding the Fourth Proportional to 20,120.40, 30,183.64 and 6,969.24

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Solution

The fourth proportional to 20,120.40, 30,183.64 and 6,969.24 is: 10,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.40 : 30,183.64 = 6,969.24 : x
  2. Step 2: Convert to fraction form
    20,120.40/30,183.64 = 6,969.24/x
  3. Step 3: Cross multiply
    20,120.40x = 30,183.64 × 6,969.24
  4. Step 4: Simplify right side
    20,120.40x = 210,357,013.81
  5. Step 5: Solve for x
    x = 210,357,013.81/20,120.40
  6. Step 6: Final answer
    x = 10,454.91

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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.