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Finding the Fourth Proportional to 13,584.20, 20,378.19 and 12,837.20

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Solution

The fourth proportional to 13,584.20, 20,378.19 and 12,837.20 is: 19,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.20 : 20,378.19 = 12,837.20 : x
  2. Step 2: Convert to fraction form
    13,584.20/20,378.19 = 12,837.20/x
  3. Step 3: Cross multiply
    13,584.20x = 20,378.19 × 12,837.20
  4. Step 4: Simplify right side
    13,584.20x = 261,598,798.78
  5. Step 5: Solve for x
    x = 261,598,798.78/13,584.20
  6. Step 6: Final answer
    x = 19,257.59

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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.