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Finding the Fourth Proportional to 13,420.20, 20,078.37 and 11,685.18

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Solution

The fourth proportional to 13,420.20, 20,078.37 and 11,685.18 is: 17,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.20 : 20,078.37 = 11,685.18 : x
  2. Step 2: Convert to fraction form
    13,420.20/20,078.37 = 11,685.18/x
  3. Step 3: Cross multiply
    13,420.20x = 20,078.37 × 11,685.18
  4. Step 4: Simplify right side
    13,420.20x = 234,619,367.56
  5. Step 5: Solve for x
    x = 234,619,367.56/13,420.20
  6. Step 6: Final answer
    x = 17,482.55

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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.