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Finding the Fourth Proportional to 13,422.40, 18,524.39 and 7,680.38

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Solution

The fourth proportional to 13,422.40, 18,524.39 and 7,680.38 is: 10,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.40 : 18,524.39 = 7,680.38 : x
  2. Step 2: Convert to fraction form
    13,422.40/18,524.39 = 7,680.38/x
  3. Step 3: Cross multiply
    13,422.40x = 18,524.39 × 7,680.38
  4. Step 4: Simplify right side
    13,422.40x = 142,274,223.44
  5. Step 5: Solve for x
    x = 142,274,223.44/13,422.40
  6. Step 6: Final answer
    x = 10,599.76

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Why These Related Problems?

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