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Finding the Fourth Proportional to 18,342.56, 27,506.77 and 6,494.13

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Solution

The fourth proportional to 18,342.56, 27,506.77 and 6,494.13 is: 9,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,342.56 : 27,506.77 = 6,494.13 : x
  2. Step 2: Convert to fraction form
    18,342.56/27,506.77 = 6,494.13/x
  3. Step 3: Cross multiply
    18,342.56x = 27,506.77 × 6,494.13
  4. Step 4: Simplify right side
    18,342.56x = 178,632,524.02
  5. Step 5: Solve for x
    x = 178,632,524.02/18,342.56
  6. Step 6: Final answer
    x = 9,738.69

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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.