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Finding the Fourth Proportional to 27,899.50, 41,855.42 and 9,185.30

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Solution

The fourth proportional to 27,899.50, 41,855.42 and 9,185.30 is: 13,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899.50 : 41,855.42 = 9,185.30 : x
  2. Step 2: Convert to fraction form
    27,899.50/41,855.42 = 9,185.30/x
  3. Step 3: Cross multiply
    27,899.50x = 41,855.42 × 9,185.30
  4. Step 4: Simplify right side
    27,899.50x = 384,454,589.33
  5. Step 5: Solve for x
    x = 384,454,589.33/27,899.50
  6. Step 6: Final answer
    x = 13,779.98

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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.