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Finding the Fourth Proportional to 12,896, 17,787.26 and 11,837.13

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Solution

The fourth proportional to 12,896, 17,787.26 and 11,837.13 is: 16,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 17,787.26 = 11,837.13 : x
  2. Step 2: Convert to fraction form
    12,896/17,787.26 = 11,837.13/x
  3. Step 3: Cross multiply
    12,896x = 17,787.26 × 11,837.13
  4. Step 4: Simplify right side
    12,896x = 210,550,020.03
  5. Step 5: Solve for x
    x = 210,550,020.03/12,896
  6. Step 6: Final answer
    x = 16,326.77

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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.