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Finding the Fourth Proportional to 13,409.73, 20,114.25 and 6,394.70

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Solution

The fourth proportional to 13,409.73, 20,114.25 and 6,394.70 is: 9,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.73 : 20,114.25 = 6,394.70 : x
  2. Step 2: Convert to fraction form
    13,409.73/20,114.25 = 6,394.70/x
  3. Step 3: Cross multiply
    13,409.73x = 20,114.25 × 6,394.70
  4. Step 4: Simplify right side
    13,409.73x = 128,624,525.62
  5. Step 5: Solve for x
    x = 128,624,525.62/13,409.73
  6. Step 6: Final answer
    x = 9,591.88

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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.