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Finding the Fourth Proportional to 12,127.97, 16,736.57 and 6,822.78

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Solution

The fourth proportional to 12,127.97, 16,736.57 and 6,822.78 is: 9,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.97 : 16,736.57 = 6,822.78 : x
  2. Step 2: Convert to fraction form
    12,127.97/16,736.57 = 6,822.78/x
  3. Step 3: Cross multiply
    12,127.97x = 16,736.57 × 6,822.78
  4. Step 4: Simplify right side
    12,127.97x = 114,189,900.95
  5. Step 5: Solve for x
    x = 114,189,900.95/12,127.97
  6. Step 6: Final answer
    x = 9,415.42

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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.