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Finding the Fourth Proportional to 12,109.60, 18,170.04 and 7,188.92

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Solution

The fourth proportional to 12,109.60, 18,170.04 and 7,188.92 is: 10,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.60 : 18,170.04 = 7,188.92 : x
  2. Step 2: Convert to fraction form
    12,109.60/18,170.04 = 7,188.92/x
  3. Step 3: Cross multiply
    12,109.60x = 18,170.04 × 7,188.92
  4. Step 4: Simplify right side
    12,109.60x = 130,622,963.96
  5. Step 5: Solve for x
    x = 130,622,963.96/12,109.60
  6. Step 6: Final answer
    x = 10,786.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.