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Finding the Fourth Proportional to 18,536.26, 27,804.15 and 7,442.75

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Solution

The fourth proportional to 18,536.26, 27,804.15 and 7,442.75 is: 11,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,536.26 : 27,804.15 = 7,442.75 : x
  2. Step 2: Convert to fraction form
    18,536.26/27,804.15 = 7,442.75/x
  3. Step 3: Cross multiply
    18,536.26x = 27,804.15 × 7,442.75
  4. Step 4: Simplify right side
    18,536.26x = 206,939,337.41
  5. Step 5: Solve for x
    x = 206,939,337.41/18,536.26
  6. Step 6: Final answer
    x = 11,164.03

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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.