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Finding the Fourth Proportional to 18,223.20, 27,344.16 and 9,465.12

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Solution

The fourth proportional to 18,223.20, 27,344.16 and 9,465.12 is: 14,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,223.20 : 27,344.16 = 9,465.12 : x
  2. Step 2: Convert to fraction form
    18,223.20/27,344.16 = 9,465.12/x
  3. Step 3: Cross multiply
    18,223.20x = 27,344.16 × 9,465.12
  4. Step 4: Simplify right side
    18,223.20x = 258,815,755.70
  5. Step 5: Solve for x
    x = 258,815,755.70/18,223.20
  6. Step 6: Final answer
    x = 14,202.54

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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.