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Finding the Fourth Proportional to 13,851.37, 20,765.49 and 6,452.02

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Solution

The fourth proportional to 13,851.37, 20,765.49 and 6,452.02 is: 9,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.37 : 20,765.49 = 6,452.02 : x
  2. Step 2: Convert to fraction form
    13,851.37/20,765.49 = 6,452.02/x
  3. Step 3: Cross multiply
    13,851.37x = 20,765.49 × 6,452.02
  4. Step 4: Simplify right side
    13,851.37x = 133,979,356.79
  5. Step 5: Solve for x
    x = 133,979,356.79/13,851.37
  6. Step 6: Final answer
    x = 9,672.64

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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.