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Finding the Fourth Proportional to 12,146.18, 18,178.09 and 7,469.13

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Solution

The fourth proportional to 12,146.18, 18,178.09 and 7,469.13 is: 11,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.18 : 18,178.09 = 7,469.13 : x
  2. Step 2: Convert to fraction form
    12,146.18/18,178.09 = 7,469.13/x
  3. Step 3: Cross multiply
    12,146.18x = 18,178.09 × 7,469.13
  4. Step 4: Simplify right side
    12,146.18x = 135,774,517.36
  5. Step 5: Solve for x
    x = 135,774,517.36/12,146.18
  6. Step 6: Final answer
    x = 11,178.37

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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.