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Finding the Fourth Proportional to 18,406.32, 27,618.24 and 10,086

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Solution

The fourth proportional to 18,406.32, 27,618.24 and 10,086 is: 15,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.32 : 27,618.24 = 10,086 : x
  2. Step 2: Convert to fraction form
    18,406.32/27,618.24 = 10,086/x
  3. Step 3: Cross multiply
    18,406.32x = 27,618.24 × 10,086
  4. Step 4: Simplify right side
    18,406.32x = 278,557,568.64
  5. Step 5: Solve for x
    x = 278,557,568.64/18,406.32
  6. Step 6: Final answer
    x = 15,133.80

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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.