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Finding the Fourth Proportional to 13,892.42, 20,883.80 and 11,149.16

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Solution

The fourth proportional to 13,892.42, 20,883.80 and 11,149.16 is: 16,759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.42 : 20,883.80 = 11,149.16 : x
  2. Step 2: Convert to fraction form
    13,892.42/20,883.80 = 11,149.16/x
  3. Step 3: Cross multiply
    13,892.42x = 20,883.80 × 11,149.16
  4. Step 4: Simplify right side
    13,892.42x = 232,836,667.44
  5. Step 5: Solve for x
    x = 232,836,667.44/13,892.42
  6. Step 6: Final answer
    x = 16,759.98

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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.