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Finding the Fourth Proportional to 13,515.90, 20,259.49 and 7,971.85

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Solution

The fourth proportional to 13,515.90, 20,259.49 and 7,971.85 is: 11,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,515.90 : 20,259.49 = 7,971.85 : x
  2. Step 2: Convert to fraction form
    13,515.90/20,259.49 = 7,971.85/x
  3. Step 3: Cross multiply
    13,515.90x = 20,259.49 × 7,971.85
  4. Step 4: Simplify right side
    13,515.90x = 161,505,658.12
  5. Step 5: Solve for x
    x = 161,505,658.12/13,515.90
  6. Step 6: Final answer
    x = 11,949.31

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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.