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Finding the Fourth Proportional to 12,109.20, 18,166.20 and 10,174.80

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Solution

The fourth proportional to 12,109.20, 18,166.20 and 10,174.80 is: 15,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.20 : 18,166.20 = 10,174.80 : x
  2. Step 2: Convert to fraction form
    12,109.20/18,166.20 = 10,174.80/x
  3. Step 3: Cross multiply
    12,109.20x = 18,166.20 × 10,174.80
  4. Step 4: Simplify right side
    12,109.20x = 184,837,451.76
  5. Step 5: Solve for x
    x = 184,837,451.76/12,109.20
  6. Step 6: Final answer
    x = 15,264.22

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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.