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Finding the Fourth Proportional to 13,382.85, 18,477.37 and 11,961.98

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Solution

The fourth proportional to 13,382.85, 18,477.37 and 11,961.98 is: 16,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.85 : 18,477.37 = 11,961.98 : x
  2. Step 2: Convert to fraction form
    13,382.85/18,477.37 = 11,961.98/x
  3. Step 3: Cross multiply
    13,382.85x = 18,477.37 × 11,961.98
  4. Step 4: Simplify right side
    13,382.85x = 221,025,930.39
  5. Step 5: Solve for x
    x = 221,025,930.39/13,382.85
  6. Step 6: Final answer
    x = 16,515.61

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Why These Related Problems?

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