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Finding the Fourth Proportional to 12,175.27, 16,801.94 and 6,870.43

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Solution

The fourth proportional to 12,175.27, 16,801.94 and 6,870.43 is: 9,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.27 : 16,801.94 = 6,870.43 : x
  2. Step 2: Convert to fraction form
    12,175.27/16,801.94 = 6,870.43/x
  3. Step 3: Cross multiply
    12,175.27x = 16,801.94 × 6,870.43
  4. Step 4: Simplify right side
    12,175.27x = 115,436,476.28
  5. Step 5: Solve for x
    x = 115,436,476.28/12,175.27
  6. Step 6: Final answer
    x = 9,481.23

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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.