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Finding the Fourth Proportional to 12,343.84, 18,515.76 and 6,794.33

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Solution

The fourth proportional to 12,343.84, 18,515.76 and 6,794.33 is: 10,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.84 : 18,515.76 = 6,794.33 : x
  2. Step 2: Convert to fraction form
    12,343.84/18,515.76 = 6,794.33/x
  3. Step 3: Cross multiply
    12,343.84x = 18,515.76 × 6,794.33
  4. Step 4: Simplify right side
    12,343.84x = 125,802,185.97
  5. Step 5: Solve for x
    x = 125,802,185.97/12,343.84
  6. Step 6: Final answer
    x = 10,191.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.