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Finding the Fourth Proportional to 11,928.69, 16,442.73 and 9,086.94

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Solution

The fourth proportional to 11,928.69, 16,442.73 and 9,086.94 is: 12,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.69 : 16,442.73 = 9,086.94 : x
  2. Step 2: Convert to fraction form
    11,928.69/16,442.73 = 9,086.94/x
  3. Step 3: Cross multiply
    11,928.69x = 16,442.73 × 9,086.94
  4. Step 4: Simplify right side
    11,928.69x = 149,414,100.95
  5. Step 5: Solve for x
    x = 149,414,100.95/11,928.69
  6. Step 6: Final answer
    x = 12,525.61

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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.