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Finding the Fourth Proportional to 13,677, 18,879.12 and 8,088

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Solution

The fourth proportional to 13,677, 18,879.12 and 8,088 is: 11,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677 : 18,879.12 = 8,088 : x
  2. Step 2: Convert to fraction form
    13,677/18,879.12 = 8,088/x
  3. Step 3: Cross multiply
    13,677x = 18,879.12 × 8,088
  4. Step 4: Simplify right side
    13,677x = 152,694,322.56
  5. Step 5: Solve for x
    x = 152,694,322.56/13,677
  6. Step 6: Final answer
    x = 11,164.31

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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.