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Finding the Fourth Proportional to 13,767.18, 18,997.10 and 8,100.68

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Solution

The fourth proportional to 13,767.18, 18,997.10 and 8,100.68 is: 11,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.18 : 18,997.10 = 8,100.68 : x
  2. Step 2: Convert to fraction form
    13,767.18/18,997.10 = 8,100.68/x
  3. Step 3: Cross multiply
    13,767.18x = 18,997.10 × 8,100.68
  4. Step 4: Simplify right side
    13,767.18x = 153,889,428.03
  5. Step 5: Solve for x
    x = 153,889,428.03/13,767.18
  6. Step 6: Final answer
    x = 11,177.99

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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.