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Finding the Fourth Proportional to 12,185.44, 16,815.92 and 6,880.14

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Solution

The fourth proportional to 12,185.44, 16,815.92 and 6,880.14 is: 9,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.44 : 16,815.92 = 6,880.14 : x
  2. Step 2: Convert to fraction form
    12,185.44/16,815.92 = 6,880.14/x
  3. Step 3: Cross multiply
    12,185.44x = 16,815.92 × 6,880.14
  4. Step 4: Simplify right side
    12,185.44x = 115,695,883.83
  5. Step 5: Solve for x
    x = 115,695,883.83/12,185.44
  6. Step 6: Final answer
    x = 9,494.60

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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.