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Finding the Fourth Proportional to 12,166.07, 18,216.09 and 10,175.90

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Solution

The fourth proportional to 12,166.07, 18,216.09 and 10,175.90 is: 15,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.07 : 18,216.09 = 10,175.90 : x
  2. Step 2: Convert to fraction form
    12,166.07/18,216.09 = 10,175.90/x
  3. Step 3: Cross multiply
    12,166.07x = 18,216.09 × 10,175.90
  4. Step 4: Simplify right side
    12,166.07x = 185,365,019.15
  5. Step 5: Solve for x
    x = 185,365,019.15/12,166.07
  6. Step 6: Final answer
    x = 15,236.23

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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.