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Finding the Fourth Proportional to 13,760.63, 18,989.66 and 8,171.63

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Solution

The fourth proportional to 13,760.63, 18,989.66 and 8,171.63 is: 11,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.63 : 18,989.66 = 8,171.63 : x
  2. Step 2: Convert to fraction form
    13,760.63/18,989.66 = 8,171.63/x
  3. Step 3: Cross multiply
    13,760.63x = 18,989.66 × 8,171.63
  4. Step 4: Simplify right side
    13,760.63x = 155,176,400.83
  5. Step 5: Solve for x
    x = 155,176,400.83/13,760.63
  6. Step 6: Final answer
    x = 11,276.84

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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.