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Finding the Fourth Proportional to 13,474.90, 18,590.25 and 8,167.78

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Solution

The fourth proportional to 13,474.90, 18,590.25 and 8,167.78 is: 11,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.90 : 18,590.25 = 8,167.78 : x
  2. Step 2: Convert to fraction form
    13,474.90/18,590.25 = 8,167.78/x
  3. Step 3: Cross multiply
    13,474.90x = 18,590.25 × 8,167.78
  4. Step 4: Simplify right side
    13,474.90x = 151,841,072.15
  5. Step 5: Solve for x
    x = 151,841,072.15/13,474.90
  6. Step 6: Final answer
    x = 11,268.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.