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Finding the Fourth Proportional to 18,266.11, 27,400.82 and 5,782.86

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Solution

The fourth proportional to 18,266.11, 27,400.82 and 5,782.86 is: 8,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266.11 : 27,400.82 = 5,782.86 : x
  2. Step 2: Convert to fraction form
    18,266.11/27,400.82 = 5,782.86/x
  3. Step 3: Cross multiply
    18,266.11x = 27,400.82 × 5,782.86
  4. Step 4: Simplify right side
    18,266.11x = 158,455,077.03
  5. Step 5: Solve for x
    x = 158,455,077.03/18,266.11
  6. Step 6: Final answer
    x = 8,674.81

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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.