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Finding the Fourth Proportional to 18,107.21, 27,146.20 and 6,414.05

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Solution

The fourth proportional to 18,107.21, 27,146.20 and 6,414.05 is: 9,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,107.21 : 27,146.20 = 6,414.05 : x
  2. Step 2: Convert to fraction form
    18,107.21/27,146.20 = 6,414.05/x
  3. Step 3: Cross multiply
    18,107.21x = 27,146.20 × 6,414.05
  4. Step 4: Simplify right side
    18,107.21x = 174,117,084.11
  5. Step 5: Solve for x
    x = 174,117,084.11/18,107.21
  6. Step 6: Final answer
    x = 9,615.90

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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.