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Finding the Fourth Proportional to 12,175.79, 18,257.20 and 7,180.25

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Solution

The fourth proportional to 12,175.79, 18,257.20 and 7,180.25 is: 10,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.79 : 18,257.20 = 7,180.25 : x
  2. Step 2: Convert to fraction form
    12,175.79/18,257.20 = 7,180.25/x
  3. Step 3: Cross multiply
    12,175.79x = 18,257.20 × 7,180.25
  4. Step 4: Simplify right side
    12,175.79x = 131,091,151.06
  5. Step 5: Solve for x
    x = 131,091,151.06/12,175.79
  6. Step 6: Final answer
    x = 10,766.55

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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.