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Finding the Fourth Proportional to 12,125.60, 18,231.60 and 10,224.80

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Solution

The fourth proportional to 12,125.60, 18,231.60 and 10,224.80 is: 15,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.60 : 18,231.60 = 10,224.80 : x
  2. Step 2: Convert to fraction form
    12,125.60/18,231.60 = 10,224.80/x
  3. Step 3: Cross multiply
    12,125.60x = 18,231.60 × 10,224.80
  4. Step 4: Simplify right side
    12,125.60x = 186,414,463.68
  5. Step 5: Solve for x
    x = 186,414,463.68/12,125.60
  6. Step 6: Final answer
    x = 15,373.63

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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.