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Finding the Fourth Proportional to 18,649.09, 27,953.10 and 8,106.83

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Solution

The fourth proportional to 18,649.09, 27,953.10 and 8,106.83 is: 12,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.09 : 27,953.10 = 8,106.83 : x
  2. Step 2: Convert to fraction form
    18,649.09/27,953.10 = 8,106.83/x
  3. Step 3: Cross multiply
    18,649.09x = 27,953.10 × 8,106.83
  4. Step 4: Simplify right side
    18,649.09x = 226,611,151.97
  5. Step 5: Solve for x
    x = 226,611,151.97/18,649.09
  6. Step 6: Final answer
    x = 12,151.33

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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.