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Finding the Fourth Proportional to 11,739.75, 16,187.82 and 9,044.95

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Solution

The fourth proportional to 11,739.75, 16,187.82 and 9,044.95 is: 12,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.75 : 16,187.82 = 9,044.95 : x
  2. Step 2: Convert to fraction form
    11,739.75/16,187.82 = 9,044.95/x
  3. Step 3: Cross multiply
    11,739.75x = 16,187.82 × 9,044.95
  4. Step 4: Simplify right side
    11,739.75x = 146,418,037.23
  5. Step 5: Solve for x
    x = 146,418,037.23/11,739.75
  6. Step 6: Final answer
    x = 12,471.99

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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.