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Finding the Fourth Proportional to 11,649.49, 17,456.95 and 8,556.37

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Solution

The fourth proportional to 11,649.49, 17,456.95 and 8,556.37 is: 12,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.49 : 17,456.95 = 8,556.37 : x
  2. Step 2: Convert to fraction form
    11,649.49/17,456.95 = 8,556.37/x
  3. Step 3: Cross multiply
    11,649.49x = 17,456.95 × 8,556.37
  4. Step 4: Simplify right side
    11,649.49x = 149,368,090.32
  5. Step 5: Solve for x
    x = 149,368,090.32/11,649.49
  6. Step 6: Final answer
    x = 12,821.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.