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Finding the Fourth Proportional to 20,533.64, 30,800.94 and 6,683.72

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Solution

The fourth proportional to 20,533.64, 30,800.94 and 6,683.72 is: 10,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.64 : 30,800.94 = 6,683.72 : x
  2. Step 2: Convert to fraction form
    20,533.64/30,800.94 = 6,683.72/x
  3. Step 3: Cross multiply
    20,533.64x = 30,800.94 × 6,683.72
  4. Step 4: Simplify right side
    20,533.64x = 205,864,858.70
  5. Step 5: Solve for x
    x = 205,864,858.70/20,533.64
  6. Step 6: Final answer
    x = 10,025.74

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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.