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Finding the Fourth Proportional to 13,974, 19,272.60 and 8,381.04

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Solution

The fourth proportional to 13,974, 19,272.60 and 8,381.04 is: 11,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 19,272.60 = 8,381.04 : x
  2. Step 2: Convert to fraction form
    13,974/19,272.60 = 8,381.04/x
  3. Step 3: Cross multiply
    13,974x = 19,272.60 × 8,381.04
  4. Step 4: Simplify right side
    13,974x = 161,524,431.50
  5. Step 5: Solve for x
    x = 161,524,431.50/13,974
  6. Step 6: Final answer
    x = 11,558.93

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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.