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Finding the Fourth Proportional to 18,262.83, 27,394.05 and 5,782.87

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Solution

The fourth proportional to 18,262.83, 27,394.05 and 5,782.87 is: 8,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,262.83 : 27,394.05 = 5,782.87 : x
  2. Step 2: Convert to fraction form
    18,262.83/27,394.05 = 5,782.87/x
  3. Step 3: Cross multiply
    18,262.83x = 27,394.05 × 5,782.87
  4. Step 4: Simplify right side
    18,262.83x = 158,416,229.92
  5. Step 5: Solve for x
    x = 158,416,229.92/18,262.83
  6. Step 6: Final answer
    x = 8,674.24

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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.