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Finding the Fourth Proportional to 18,496.80, 27,745.20 and 9,141.30

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Solution

The fourth proportional to 18,496.80, 27,745.20 and 9,141.30 is: 13,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.80 : 27,745.20 = 9,141.30 : x
  2. Step 2: Convert to fraction form
    18,496.80/27,745.20 = 9,141.30/x
  3. Step 3: Cross multiply
    18,496.80x = 27,745.20 × 9,141.30
  4. Step 4: Simplify right side
    18,496.80x = 253,627,196.76
  5. Step 5: Solve for x
    x = 253,627,196.76/18,496.80
  6. Step 6: Final answer
    x = 13,711.95

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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.