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Finding the Fourth Proportional to 12,109.80, 18,164.70 and 8,173.20

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Solution

The fourth proportional to 12,109.80, 18,164.70 and 8,173.20 is: 12,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.80 : 18,164.70 = 8,173.20 : x
  2. Step 2: Convert to fraction form
    12,109.80/18,164.70 = 8,173.20/x
  3. Step 3: Cross multiply
    12,109.80x = 18,164.70 × 8,173.20
  4. Step 4: Simplify right side
    12,109.80x = 148,463,726.04
  5. Step 5: Solve for x
    x = 148,463,726.04/12,109.80
  6. Step 6: Final answer
    x = 12,259.80

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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.