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Finding the Fourth Proportional to 12,146.25, 18,239.64 and 11,237.04

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Solution

The fourth proportional to 12,146.25, 18,239.64 and 11,237.04 is: 16,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.25 : 18,239.64 = 11,237.04 : x
  2. Step 2: Convert to fraction form
    12,146.25/18,239.64 = 11,237.04/x
  3. Step 3: Cross multiply
    12,146.25x = 18,239.64 × 11,237.04
  4. Step 4: Simplify right side
    12,146.25x = 204,959,564.27
  5. Step 5: Solve for x
    x = 204,959,564.27/12,146.25
  6. Step 6: Final answer
    x = 16,874.31

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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.