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Finding the Fourth Proportional to 12,411.09, 17,127.30 and 6,822.09

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Solution

The fourth proportional to 12,411.09, 17,127.30 and 6,822.09 is: 9,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.09 : 17,127.30 = 6,822.09 : x
  2. Step 2: Convert to fraction form
    12,411.09/17,127.30 = 6,822.09/x
  3. Step 3: Cross multiply
    12,411.09x = 17,127.30 × 6,822.09
  4. Step 4: Simplify right side
    12,411.09x = 116,843,982.06
  5. Step 5: Solve for x
    x = 116,843,982.06/12,411.09
  6. Step 6: Final answer
    x = 9,414.48

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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.