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Finding the Fourth Proportional to 18,651.31, 27,968.75 and 9,884.17

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Solution

The fourth proportional to 18,651.31, 27,968.75 and 9,884.17 is: 14,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.31 : 27,968.75 = 9,884.17 : x
  2. Step 2: Convert to fraction form
    18,651.31/27,968.75 = 9,884.17/x
  3. Step 3: Cross multiply
    18,651.31x = 27,968.75 × 9,884.17
  4. Step 4: Simplify right side
    18,651.31x = 276,447,834.48
  5. Step 5: Solve for x
    x = 276,447,834.48/18,651.31
  6. Step 6: Final answer
    x = 14,821.90

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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.