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Finding the Fourth Proportional to 11,976.40, 17,942.71 and 8,681.32

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Solution

The fourth proportional to 11,976.40, 17,942.71 and 8,681.32 is: 13,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976.40 : 17,942.71 = 8,681.32 : x
  2. Step 2: Convert to fraction form
    11,976.40/17,942.71 = 8,681.32/x
  3. Step 3: Cross multiply
    11,976.40x = 17,942.71 × 8,681.32
  4. Step 4: Simplify right side
    11,976.40x = 155,766,407.18
  5. Step 5: Solve for x
    x = 155,766,407.18/11,976.40
  6. Step 6: Final answer
    x = 13,006.11

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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.