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Finding the Fourth Proportional to 18,214.30, 27,299.52 and 7,680.25

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Solution

The fourth proportional to 18,214.30, 27,299.52 and 7,680.25 is: 11,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.30 : 27,299.52 = 7,680.25 : x
  2. Step 2: Convert to fraction form
    18,214.30/27,299.52 = 7,680.25/x
  3. Step 3: Cross multiply
    18,214.30x = 27,299.52 × 7,680.25
  4. Step 4: Simplify right side
    18,214.30x = 209,667,138.48
  5. Step 5: Solve for x
    x = 209,667,138.48/18,214.30
  6. Step 6: Final answer
    x = 11,511.13

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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.