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Finding the Fourth Proportional to 13,769.18, 18,999.86 and 8,102.68

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Solution

The fourth proportional to 13,769.18, 18,999.86 and 8,102.68 is: 11,180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.18 : 18,999.86 = 8,102.68 : x
  2. Step 2: Convert to fraction form
    13,769.18/18,999.86 = 8,102.68/x
  3. Step 3: Cross multiply
    13,769.18x = 18,999.86 × 8,102.68
  4. Step 4: Simplify right side
    13,769.18x = 153,949,785.62
  5. Step 5: Solve for x
    x = 153,949,785.62/13,769.18
  6. Step 6: Final answer
    x = 11,180.75

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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.