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Finding the Fourth Proportional to 13,767.88, 18,999.76 and 8,102.84

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Solution

The fourth proportional to 13,767.88, 18,999.76 and 8,102.84 is: 11,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.88 : 18,999.76 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    13,767.88/18,999.76 = 8,102.84/x
  3. Step 3: Cross multiply
    13,767.88x = 18,999.76 × 8,102.84
  4. Step 4: Simplify right side
    13,767.88x = 153,952,015.32
  5. Step 5: Solve for x
    x = 153,952,015.32/13,767.88
  6. Step 6: Final answer
    x = 11,181.97

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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.