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Finding the Fourth Proportional to 18,420, 27,634.08 and 6,732.96

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Solution

The fourth proportional to 18,420, 27,634.08 and 6,732.96 is: 10,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420 : 27,634.08 = 6,732.96 : x
  2. Step 2: Convert to fraction form
    18,420/27,634.08 = 6,732.96/x
  3. Step 3: Cross multiply
    18,420x = 27,634.08 × 6,732.96
  4. Step 4: Simplify right side
    18,420x = 186,059,155.28
  5. Step 5: Solve for x
    x = 186,059,155.28/18,420
  6. Step 6: Final answer
    x = 10,100.93

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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.