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Finding the Fourth Proportional to 12,896.12, 17,804.42 and 8,427.35

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Solution

The fourth proportional to 12,896.12, 17,804.42 and 8,427.35 is: 11,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.12 : 17,804.42 = 8,427.35 : x
  2. Step 2: Convert to fraction form
    12,896.12/17,804.42 = 8,427.35/x
  3. Step 3: Cross multiply
    12,896.12x = 17,804.42 × 8,427.35
  4. Step 4: Simplify right side
    12,896.12x = 150,044,081.26
  5. Step 5: Solve for x
    x = 150,044,081.26/12,896.12
  6. Step 6: Final answer
    x = 11,634.82

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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.