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Finding the Fourth Proportional to 12,127.36, 16,735.89 and 6,822.13

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Solution

The fourth proportional to 12,127.36, 16,735.89 and 6,822.13 is: 9,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.36 : 16,735.89 = 6,822.13 : x
  2. Step 2: Convert to fraction form
    12,127.36/16,735.89 = 6,822.13/x
  3. Step 3: Cross multiply
    12,127.36x = 16,735.89 × 6,822.13
  4. Step 4: Simplify right side
    12,127.36x = 114,174,417.25
  5. Step 5: Solve for x
    x = 114,174,417.25/12,127.36
  6. Step 6: Final answer
    x = 9,414.61

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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.