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Finding the Fourth Proportional to 12,146.25, 18,178.22 and 7,469.22

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Solution

The fourth proportional to 12,146.25, 18,178.22 and 7,469.22 is: 11,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.25 : 18,178.22 = 7,469.22 : x
  2. Step 2: Convert to fraction form
    12,146.25/18,178.22 = 7,469.22/x
  3. Step 3: Cross multiply
    12,146.25x = 18,178.22 × 7,469.22
  4. Step 4: Simplify right side
    12,146.25x = 135,777,124.39
  5. Step 5: Solve for x
    x = 135,777,124.39/12,146.25
  6. Step 6: Final answer
    x = 11,178.52

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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.