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Finding the Fourth Proportional to 12,230.80, 18,361.69 and 10,175.93

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Solution

The fourth proportional to 12,230.80, 18,361.69 and 10,175.93 is: 15,276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.80 : 18,361.69 = 10,175.93 : x
  2. Step 2: Convert to fraction form
    12,230.80/18,361.69 = 10,175.93/x
  3. Step 3: Cross multiply
    12,230.80x = 18,361.69 × 10,175.93
  4. Step 4: Simplify right side
    12,230.80x = 186,847,223.73
  5. Step 5: Solve for x
    x = 186,847,223.73/12,230.80
  6. Step 6: Final answer
    x = 15,276.78

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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.