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Finding the Fourth Proportional to 13,767.63, 18,999.41 and 8,102.58

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Solution

The fourth proportional to 13,767.63, 18,999.41 and 8,102.58 is: 11,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.63 : 18,999.41 = 8,102.58 : x
  2. Step 2: Convert to fraction form
    13,767.63/18,999.41 = 8,102.58/x
  3. Step 3: Cross multiply
    13,767.63x = 18,999.41 × 8,102.58
  4. Step 4: Simplify right side
    13,767.63x = 153,944,198.96
  5. Step 5: Solve for x
    x = 153,944,198.96/13,767.63
  6. Step 6: Final answer
    x = 11,181.60

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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.