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Finding the Fourth Proportional to 18,649.12, 27,969.61 and 6,166.19

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Solution

The fourth proportional to 18,649.12, 27,969.61 and 6,166.19 is: 9,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.12 : 27,969.61 = 6,166.19 : x
  2. Step 2: Convert to fraction form
    18,649.12/27,969.61 = 6,166.19/x
  3. Step 3: Cross multiply
    18,649.12x = 27,969.61 × 6,166.19
  4. Step 4: Simplify right side
    18,649.12x = 172,465,929.49
  5. Step 5: Solve for x
    x = 172,465,929.49/18,649.12
  6. Step 6: Final answer
    x = 9,247.94

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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.