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Finding the Fourth Proportional to 12,185.78, 16,815.21 and 9,673.97

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Solution

The fourth proportional to 12,185.78, 16,815.21 and 9,673.97 is: 13,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.78 : 16,815.21 = 9,673.97 : x
  2. Step 2: Convert to fraction form
    12,185.78/16,815.21 = 9,673.97/x
  3. Step 3: Cross multiply
    12,185.78x = 16,815.21 × 9,673.97
  4. Step 4: Simplify right side
    12,185.78x = 162,669,837.08
  5. Step 5: Solve for x
    x = 162,669,837.08/12,185.78
  6. Step 6: Final answer
    x = 13,349.15

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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.