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Finding the Fourth Proportional to 12,794.20, 19,212.14 and 7,894.96

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Solution

The fourth proportional to 12,794.20, 19,212.14 and 7,894.96 is: 11,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.20 : 19,212.14 = 7,894.96 : x
  2. Step 2: Convert to fraction form
    12,794.20/19,212.14 = 7,894.96/x
  3. Step 3: Cross multiply
    12,794.20x = 19,212.14 × 7,894.96
  4. Step 4: Simplify right side
    12,794.20x = 151,679,076.81
  5. Step 5: Solve for x
    x = 151,679,076.81/12,794.20
  6. Step 6: Final answer
    x = 11,855.30

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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.