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Finding the Fourth Proportional to 13,832.43, 19,084.31 and 8,167.42

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Solution

The fourth proportional to 13,832.43, 19,084.31 and 8,167.42 is: 11,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.43 : 19,084.31 = 8,167.42 : x
  2. Step 2: Convert to fraction form
    13,832.43/19,084.31 = 8,167.42/x
  3. Step 3: Cross multiply
    13,832.43x = 19,084.31 × 8,167.42
  4. Step 4: Simplify right side
    13,832.43x = 155,869,561.99
  5. Step 5: Solve for x
    x = 155,869,561.99/13,832.43
  6. Step 6: Final answer
    x = 11,268.41

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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.