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Finding the Fourth Proportional to 13,891.38, 19,166.79 and 8,224.32

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Solution

The fourth proportional to 13,891.38, 19,166.79 and 8,224.32 is: 11,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.38 : 19,166.79 = 8,224.32 : x
  2. Step 2: Convert to fraction form
    13,891.38/19,166.79 = 8,224.32/x
  3. Step 3: Cross multiply
    13,891.38x = 19,166.79 × 8,224.32
  4. Step 4: Simplify right side
    13,891.38x = 157,633,814.33
  5. Step 5: Solve for x
    x = 157,633,814.33/13,891.38
  6. Step 6: Final answer
    x = 11,347.60

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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.