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Finding the Fourth Proportional to 12,794.40, 19,191.60 and 7,804.80

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Solution

The fourth proportional to 12,794.40, 19,191.60 and 7,804.80 is: 11,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.40 : 19,191.60 = 7,804.80 : x
  2. Step 2: Convert to fraction form
    12,794.40/19,191.60 = 7,804.80/x
  3. Step 3: Cross multiply
    12,794.40x = 19,191.60 × 7,804.80
  4. Step 4: Simplify right side
    12,794.40x = 149,786,599.68
  5. Step 5: Solve for x
    x = 149,786,599.68/12,794.40
  6. Step 6: Final answer
    x = 11,707.20

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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.