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Finding the Fourth Proportional to 20,283.75, 30,420.72 and 5,491.71

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Solution

The fourth proportional to 20,283.75, 30,420.72 and 5,491.71 is: 8,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.75 : 30,420.72 = 5,491.71 : x
  2. Step 2: Convert to fraction form
    20,283.75/30,420.72 = 5,491.71/x
  3. Step 3: Cross multiply
    20,283.75x = 30,420.72 × 5,491.71
  4. Step 4: Simplify right side
    20,283.75x = 167,061,772.23
  5. Step 5: Solve for x
    x = 167,061,772.23/20,283.75
  6. Step 6: Final answer
    x = 8,236.24

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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.