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Finding the Fourth Proportional to 13,794.75, 20,642.90 and 11,952.18

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Solution

The fourth proportional to 13,794.75, 20,642.90 and 11,952.18 is: 17,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.75 : 20,642.90 = 11,952.18 : x
  2. Step 2: Convert to fraction form
    13,794.75/20,642.90 = 11,952.18/x
  3. Step 3: Cross multiply
    13,794.75x = 20,642.90 × 11,952.18
  4. Step 4: Simplify right side
    13,794.75x = 246,727,596.76
  5. Step 5: Solve for x
    x = 246,727,596.76/13,794.75
  6. Step 6: Final answer
    x = 17,885.62

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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.