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Finding the Fourth Proportional to 12,204.62, 16,837.40 and 7,954.13

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Solution

The fourth proportional to 12,204.62, 16,837.40 and 7,954.13 is: 10,973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.62 : 16,837.40 = 7,954.13 : x
  2. Step 2: Convert to fraction form
    12,204.62/16,837.40 = 7,954.13/x
  3. Step 3: Cross multiply
    12,204.62x = 16,837.40 × 7,954.13
  4. Step 4: Simplify right side
    12,204.62x = 133,926,930.44
  5. Step 5: Solve for x
    x = 133,926,930.44/12,204.62
  6. Step 6: Final answer
    x = 10,973.46

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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.