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Finding the Fourth Proportional to 13,772.18, 20,657.90 and 3,911.46

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Solution

The fourth proportional to 13,772.18, 20,657.90 and 3,911.46 is: 5,867.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.18 : 20,657.90 = 3,911.46 : x
  2. Step 2: Convert to fraction form
    13,772.18/20,657.90 = 3,911.46/x
  3. Step 3: Cross multiply
    13,772.18x = 20,657.90 × 3,911.46
  4. Step 4: Simplify right side
    13,772.18x = 80,802,481.85
  5. Step 5: Solve for x
    x = 80,802,481.85/13,772.18
  6. Step 6: Final answer
    x = 5,867.08

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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.