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Finding the Fourth Proportional to 13,766.68, 18,997.68 and 8,100.46

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Solution

The fourth proportional to 13,766.68, 18,997.68 and 8,100.46 is: 11,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.68 : 18,997.68 = 8,100.46 : x
  2. Step 2: Convert to fraction form
    13,766.68/18,997.68 = 8,100.46/x
  3. Step 3: Cross multiply
    13,766.68x = 18,997.68 × 8,100.46
  4. Step 4: Simplify right side
    13,766.68x = 153,889,946.93
  5. Step 5: Solve for x
    x = 153,889,946.93/13,766.68
  6. Step 6: Final answer
    x = 11,178.44

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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.