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Finding the Fourth Proportional to 12,309.05, 16,974.99 and 9,799.47

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Solution

The fourth proportional to 12,309.05, 16,974.99 and 9,799.47 is: 13,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.05 : 16,974.99 = 9,799.47 : x
  2. Step 2: Convert to fraction form
    12,309.05/16,974.99 = 9,799.47/x
  3. Step 3: Cross multiply
    12,309.05x = 16,974.99 × 9,799.47
  4. Step 4: Simplify right side
    12,309.05x = 166,345,905.26
  5. Step 5: Solve for x
    x = 166,345,905.26/12,309.05
  6. Step 6: Final answer
    x = 13,514.11

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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.