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Finding the Fourth Proportional to 12,127.99, 16,736.46 and 6,822.80

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Solution

The fourth proportional to 12,127.99, 16,736.46 and 6,822.80 is: 9,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.99 : 16,736.46 = 6,822.80 : x
  2. Step 2: Convert to fraction form
    12,127.99/16,736.46 = 6,822.80/x
  3. Step 3: Cross multiply
    12,127.99x = 16,736.46 × 6,822.80
  4. Step 4: Simplify right side
    12,127.99x = 114,189,519.29
  5. Step 5: Solve for x
    x = 114,189,519.29/12,127.99
  6. Step 6: Final answer
    x = 9,415.37

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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.