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Finding the Fourth Proportional to 12,687.84, 17,511.84 and 7,968.96

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Solution

The fourth proportional to 12,687.84, 17,511.84 and 7,968.96 is: 10,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.84 : 17,511.84 = 7,968.96 : x
  2. Step 2: Convert to fraction form
    12,687.84/17,511.84 = 7,968.96/x
  3. Step 3: Cross multiply
    12,687.84x = 17,511.84 × 7,968.96
  4. Step 4: Simplify right side
    12,687.84x = 139,551,152.49
  5. Step 5: Solve for x
    x = 139,551,152.49/12,687.84
  6. Step 6: Final answer
    x = 10,998.81

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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.