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Finding the Fourth Proportional to 14,517.96, 20,011.50 and 9,794.04

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Solution

The fourth proportional to 14,517.96, 20,011.50 and 9,794.04 is: 13,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.96 : 20,011.50 = 9,794.04 : x
  2. Step 2: Convert to fraction form
    14,517.96/20,011.50 = 9,794.04/x
  3. Step 3: Cross multiply
    14,517.96x = 20,011.50 × 9,794.04
  4. Step 4: Simplify right side
    14,517.96x = 195,993,431.46
  5. Step 5: Solve for x
    x = 195,993,431.46/14,517.96
  6. Step 6: Final answer
    x = 13,500.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.