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Finding the Fourth Proportional to 18,214.05, 27,299.15 and 7,680

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Solution

The fourth proportional to 18,214.05, 27,299.15 and 7,680 is: 11,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.05 : 27,299.15 = 7,680 : x
  2. Step 2: Convert to fraction form
    18,214.05/27,299.15 = 7,680/x
  3. Step 3: Cross multiply
    18,214.05x = 27,299.15 × 7,680
  4. Step 4: Simplify right side
    18,214.05x = 209,657,433.60
  5. Step 5: Solve for x
    x = 209,657,433.60/18,214.05
  6. Step 6: Final answer
    x = 11,510.75

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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.