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Finding the Fourth Proportional to 13,731.53, 18,958.56 and 8,435.44

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Solution

The fourth proportional to 13,731.53, 18,958.56 and 8,435.44 is: 11,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.53 : 18,958.56 = 8,435.44 : x
  2. Step 2: Convert to fraction form
    13,731.53/18,958.56 = 8,435.44/x
  3. Step 3: Cross multiply
    13,731.53x = 18,958.56 × 8,435.44
  4. Step 4: Simplify right side
    13,731.53x = 159,923,787.43
  5. Step 5: Solve for x
    x = 159,923,787.43/13,731.53
  6. Step 6: Final answer
    x = 11,646.47

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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.