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Finding the Fourth Proportional to 13,399.20, 20,077.20 and 11,541.60

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Solution

The fourth proportional to 13,399.20, 20,077.20 and 11,541.60 is: 17,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,399.20 : 20,077.20 = 11,541.60 : x
  2. Step 2: Convert to fraction form
    13,399.20/20,077.20 = 11,541.60/x
  3. Step 3: Cross multiply
    13,399.20x = 20,077.20 × 11,541.60
  4. Step 4: Simplify right side
    13,399.20x = 231,723,011.52
  5. Step 5: Solve for x
    x = 231,723,011.52/13,399.20
  6. Step 6: Final answer
    x = 17,293.79

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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.