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Finding the Fourth Proportional to 13,760.54, 18,994.39 and 8,171.50

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Solution

The fourth proportional to 13,760.54, 18,994.39 and 8,171.50 is: 11,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.54 : 18,994.39 = 8,171.50 : x
  2. Step 2: Convert to fraction form
    13,760.54/18,994.39 = 8,171.50/x
  3. Step 3: Cross multiply
    13,760.54x = 18,994.39 × 8,171.50
  4. Step 4: Simplify right side
    13,760.54x = 155,212,657.89
  5. Step 5: Solve for x
    x = 155,212,657.89/13,760.54
  6. Step 6: Final answer
    x = 11,279.55

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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.