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Finding the Fourth Proportional to 18,299.84, 27,451.20 and 7,205.76

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Solution

The fourth proportional to 18,299.84, 27,451.20 and 7,205.76 is: 10,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,299.84 : 27,451.20 = 7,205.76 : x
  2. Step 2: Convert to fraction form
    18,299.84/27,451.20 = 7,205.76/x
  3. Step 3: Cross multiply
    18,299.84x = 27,451.20 × 7,205.76
  4. Step 4: Simplify right side
    18,299.84x = 197,806,758.91
  5. Step 5: Solve for x
    x = 197,806,758.91/18,299.84
  6. Step 6: Final answer
    x = 10,809.21

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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.