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Finding the Fourth Proportional to 13,493.90, 20,238.46 and 7,940.75

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Solution

The fourth proportional to 13,493.90, 20,238.46 and 7,940.75 is: 11,909.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.90 : 20,238.46 = 7,940.75 : x
  2. Step 2: Convert to fraction form
    13,493.90/20,238.46 = 7,940.75/x
  3. Step 3: Cross multiply
    13,493.90x = 20,238.46 × 7,940.75
  4. Step 4: Simplify right side
    13,493.90x = 160,708,551.25
  5. Step 5: Solve for x
    x = 160,708,551.25/13,493.90
  6. Step 6: Final answer
    x = 11,909.72

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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.