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Finding the Fourth Proportional to 12,203.60, 16,843.82 and 7,947.32

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Solution

The fourth proportional to 12,203.60, 16,843.82 and 7,947.32 is: 10,969.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.60 : 16,843.82 = 7,947.32 : x
  2. Step 2: Convert to fraction form
    12,203.60/16,843.82 = 7,947.32/x
  3. Step 3: Cross multiply
    12,203.60x = 16,843.82 × 7,947.32
  4. Step 4: Simplify right side
    12,203.60x = 133,863,103.61
  5. Step 5: Solve for x
    x = 133,863,103.61/12,203.60
  6. Step 6: Final answer
    x = 10,969.15

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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.