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Finding the Fourth Proportional to 13,680.26, 18,880.18 and 8,378.60

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Solution

The fourth proportional to 13,680.26, 18,880.18 and 8,378.60 is: 11,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.26 : 18,880.18 = 8,378.60 : x
  2. Step 2: Convert to fraction form
    13,680.26/18,880.18 = 8,378.60/x
  3. Step 3: Cross multiply
    13,680.26x = 18,880.18 × 8,378.60
  4. Step 4: Simplify right side
    13,680.26x = 158,189,476.15
  5. Step 5: Solve for x
    x = 158,189,476.15/13,680.26
  6. Step 6: Final answer
    x = 11,563.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.