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Finding the Fourth Proportional to 11,935, 16,474.71 and 10,249.62

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Solution

The fourth proportional to 11,935, 16,474.71 and 10,249.62 is: 14,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935 : 16,474.71 = 10,249.62 : x
  2. Step 2: Convert to fraction form
    11,935/16,474.71 = 10,249.62/x
  3. Step 3: Cross multiply
    11,935x = 16,474.71 × 10,249.62
  4. Step 4: Simplify right side
    11,935x = 168,859,517.11
  5. Step 5: Solve for x
    x = 168,859,517.11/11,935
  6. Step 6: Final answer
    x = 14,148.26

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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.