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Finding the Fourth Proportional to 12,128.39, 16,736.27 and 6,822.17

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Solution

The fourth proportional to 12,128.39, 16,736.27 and 6,822.17 is: 9,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.39 : 16,736.27 = 6,822.17 : x
  2. Step 2: Convert to fraction form
    12,128.39/16,736.27 = 6,822.17/x
  3. Step 3: Cross multiply
    12,128.39x = 16,736.27 × 6,822.17
  4. Step 4: Simplify right side
    12,128.39x = 114,177,686.84
  5. Step 5: Solve for x
    x = 114,177,686.84/12,128.39
  6. Step 6: Final answer
    x = 9,414.09

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Why These Related Problems?

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