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Finding the Fourth Proportional to 20,452.89, 30,680.02 and 5,660.57

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Solution

The fourth proportional to 20,452.89, 30,680.02 and 5,660.57 is: 8,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.89 : 30,680.02 = 5,660.57 : x
  2. Step 2: Convert to fraction form
    20,452.89/30,680.02 = 5,660.57/x
  3. Step 3: Cross multiply
    20,452.89x = 30,680.02 × 5,660.57
  4. Step 4: Simplify right side
    20,452.89x = 173,666,400.81
  5. Step 5: Solve for x
    x = 173,666,400.81/20,452.89
  6. Step 6: Final answer
    x = 8,491.04

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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.