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Finding the Fourth Proportional to 18,200.19, 27,249.59 and 9,296.24

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Solution

The fourth proportional to 18,200.19, 27,249.59 and 9,296.24 is: 13,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.19 : 27,249.59 = 9,296.24 : x
  2. Step 2: Convert to fraction form
    18,200.19/27,249.59 = 9,296.24/x
  3. Step 3: Cross multiply
    18,200.19x = 27,249.59 × 9,296.24
  4. Step 4: Simplify right side
    18,200.19x = 253,318,728.54
  5. Step 5: Solve for x
    x = 253,318,728.54/18,200.19
  6. Step 6: Final answer
    x = 13,918.47

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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.