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Finding the Fourth Proportional to 13,680.60, 18,880.19 and 7,712.82

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Solution

The fourth proportional to 13,680.60, 18,880.19 and 7,712.82 is: 10,644.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.60 : 18,880.19 = 7,712.82 : x
  2. Step 2: Convert to fraction form
    13,680.60/18,880.19 = 7,712.82/x
  3. Step 3: Cross multiply
    13,680.60x = 18,880.19 × 7,712.82
  4. Step 4: Simplify right side
    13,680.60x = 145,619,497.39
  5. Step 5: Solve for x
    x = 145,619,497.39/13,680.60
  6. Step 6: Final answer
    x = 10,644.24

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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.