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Finding the Fourth Proportional to 13,971, 19,268.46 and 8,378.04

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Solution

The fourth proportional to 13,971, 19,268.46 and 8,378.04 is: 11,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971 : 19,268.46 = 8,378.04 : x
  2. Step 2: Convert to fraction form
    13,971/19,268.46 = 8,378.04/x
  3. Step 3: Cross multiply
    13,971x = 19,268.46 × 8,378.04
  4. Step 4: Simplify right side
    13,971x = 161,431,928.62
  5. Step 5: Solve for x
    x = 161,431,928.62/13,971
  6. Step 6: Final answer
    x = 11,554.79

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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.