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Finding the Fourth Proportional to 13,394.88, 20,105.28 and 6,474.24

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Solution

The fourth proportional to 13,394.88, 20,105.28 and 6,474.24 is: 9,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,394.88 : 20,105.28 = 6,474.24 : x
  2. Step 2: Convert to fraction form
    13,394.88/20,105.28 = 6,474.24/x
  3. Step 3: Cross multiply
    13,394.88x = 20,105.28 × 6,474.24
  4. Step 4: Simplify right side
    13,394.88x = 130,166,407.99
  5. Step 5: Solve for x
    x = 130,166,407.99/13,394.88
  6. Step 6: Final answer
    x = 9,717.62

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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.