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Finding the Fourth Proportional to 12,315.92, 16,996.56 and 6,940.24

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Solution

The fourth proportional to 12,315.92, 16,996.56 and 6,940.24 is: 9,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.92 : 16,996.56 = 6,940.24 : x
  2. Step 2: Convert to fraction form
    12,315.92/16,996.56 = 6,940.24/x
  3. Step 3: Cross multiply
    12,315.92x = 16,996.56 × 6,940.24
  4. Step 4: Simplify right side
    12,315.92x = 117,960,205.57
  5. Step 5: Solve for x
    x = 117,960,205.57/12,315.92
  6. Step 6: Final answer
    x = 9,577.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.