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Finding the Fourth Proportional to 13,266.25, 19,850.29 and 8,004.31

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Solution

The fourth proportional to 13,266.25, 19,850.29 and 8,004.31 is: 11,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.25 : 19,850.29 = 8,004.31 : x
  2. Step 2: Convert to fraction form
    13,266.25/19,850.29 = 8,004.31/x
  3. Step 3: Cross multiply
    13,266.25x = 19,850.29 × 8,004.31
  4. Step 4: Simplify right side
    13,266.25x = 158,887,874.75
  5. Step 5: Solve for x
    x = 158,887,874.75/13,266.25
  6. Step 6: Final answer
    x = 11,976.85

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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.