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Finding the Fourth Proportional to 12,369.84, 18,556.92 and 6,820.80

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Solution

The fourth proportional to 12,369.84, 18,556.92 and 6,820.80 is: 10,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.84 : 18,556.92 = 6,820.80 : x
  2. Step 2: Convert to fraction form
    12,369.84/18,556.92 = 6,820.80/x
  3. Step 3: Cross multiply
    12,369.84x = 18,556.92 × 6,820.80
  4. Step 4: Simplify right side
    12,369.84x = 126,573,039.94
  5. Step 5: Solve for x
    x = 126,573,039.94/12,369.84
  6. Step 6: Final answer
    x = 10,232.39

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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.