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Finding the Fourth Proportional to 12,805.36, 17,678.37 and 8,847.78

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Solution

The fourth proportional to 12,805.36, 17,678.37 and 8,847.78 is: 12,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.36 : 17,678.37 = 8,847.78 : x
  2. Step 2: Convert to fraction form
    12,805.36/17,678.37 = 8,847.78/x
  3. Step 3: Cross multiply
    12,805.36x = 17,678.37 × 8,847.78
  4. Step 4: Simplify right side
    12,805.36x = 156,414,328.52
  5. Step 5: Solve for x
    x = 156,414,328.52/12,805.36
  6. Step 6: Final answer
    x = 12,214.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.