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Finding the Fourth Proportional to 13,584.54, 20,378.36 and 12,189.32

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Solution

The fourth proportional to 13,584.54, 20,378.36 and 12,189.32 is: 18,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.54 : 20,378.36 = 12,189.32 : x
  2. Step 2: Convert to fraction form
    13,584.54/20,378.36 = 12,189.32/x
  3. Step 3: Cross multiply
    13,584.54x = 20,378.36 × 12,189.32
  4. Step 4: Simplify right side
    13,584.54x = 248,398,351.12
  5. Step 5: Solve for x
    x = 248,398,351.12/13,584.54
  6. Step 6: Final answer
    x = 18,285.37

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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.