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Finding the Fourth Proportional to 18,338.16, 27,508.32 and 5,189.44

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Solution

The fourth proportional to 18,338.16, 27,508.32 and 5,189.44 is: 7,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,338.16 : 27,508.32 = 5,189.44 : x
  2. Step 2: Convert to fraction form
    18,338.16/27,508.32 = 5,189.44/x
  3. Step 3: Cross multiply
    18,338.16x = 27,508.32 × 5,189.44
  4. Step 4: Simplify right side
    18,338.16x = 142,752,776.14
  5. Step 5: Solve for x
    x = 142,752,776.14/18,338.16
  6. Step 6: Final answer
    x = 7,784.47

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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.