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Finding the Fourth Proportional to 12,768.80, 19,196.40 and 10,199.84

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Solution

The fourth proportional to 12,768.80, 19,196.40 and 10,199.84 is: 15,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.80 : 19,196.40 = 10,199.84 : x
  2. Step 2: Convert to fraction form
    12,768.80/19,196.40 = 10,199.84/x
  3. Step 3: Cross multiply
    12,768.80x = 19,196.40 × 10,199.84
  4. Step 4: Simplify right side
    12,768.80x = 195,800,208.58
  5. Step 5: Solve for x
    x = 195,800,208.58/12,768.80
  6. Step 6: Final answer
    x = 15,334.27

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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.