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Finding the Fourth Proportional to 11,946.36, 17,918.22 and 3,182.04

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Solution

The fourth proportional to 11,946.36, 17,918.22 and 3,182.04 is: 4,772.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.36 : 17,918.22 = 3,182.04 : x
  2. Step 2: Convert to fraction form
    11,946.36/17,918.22 = 3,182.04/x
  3. Step 3: Cross multiply
    11,946.36x = 17,918.22 × 3,182.04
  4. Step 4: Simplify right side
    11,946.36x = 57,016,492.77
  5. Step 5: Solve for x
    x = 57,016,492.77/11,946.36
  6. Step 6: Final answer
    x = 4,772.71

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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.