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Finding the Fourth Proportional to 13,766.45, 18,997.71 and 8,177.45

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Solution

The fourth proportional to 13,766.45, 18,997.71 and 8,177.45 is: 11,284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.45 : 18,997.71 = 8,177.45 : x
  2. Step 2: Convert to fraction form
    13,766.45/18,997.71 = 8,177.45/x
  3. Step 3: Cross multiply
    13,766.45x = 18,997.71 × 8,177.45
  4. Step 4: Simplify right side
    13,766.45x = 155,352,830.25
  5. Step 5: Solve for x
    x = 155,352,830.25/13,766.45
  6. Step 6: Final answer
    x = 11,284.88

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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.