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Finding the Fourth Proportional to 13,548.97, 20,321.84 and 3,689.02

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Solution

The fourth proportional to 13,548.97, 20,321.84 and 3,689.02 is: 5,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.97 : 20,321.84 = 3,689.02 : x
  2. Step 2: Convert to fraction form
    13,548.97/20,321.84 = 3,689.02/x
  3. Step 3: Cross multiply
    13,548.97x = 20,321.84 × 3,689.02
  4. Step 4: Simplify right side
    13,548.97x = 74,967,655.75
  5. Step 5: Solve for x
    x = 74,967,655.75/13,548.97
  6. Step 6: Final answer
    x = 5,533.09

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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.