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Finding the Fourth Proportional to 12,883.85, 19,296.44 and 7,678.97

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Solution

The fourth proportional to 12,883.85, 19,296.44 and 7,678.97 is: 11,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.85 : 19,296.44 = 7,678.97 : x
  2. Step 2: Convert to fraction form
    12,883.85/19,296.44 = 7,678.97/x
  3. Step 3: Cross multiply
    12,883.85x = 19,296.44 × 7,678.97
  4. Step 4: Simplify right side
    12,883.85x = 148,176,745.47
  5. Step 5: Solve for x
    x = 148,176,745.47/12,883.85
  6. Step 6: Final answer
    x = 11,500.97

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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.