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Finding the Fourth Proportional to 13,974.64, 19,286.28 and 8,008.24

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Solution

The fourth proportional to 13,974.64, 19,286.28 and 8,008.24 is: 11,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.64 : 19,286.28 = 8,008.24 : x
  2. Step 2: Convert to fraction form
    13,974.64/19,286.28 = 8,008.24/x
  3. Step 3: Cross multiply
    13,974.64x = 19,286.28 × 8,008.24
  4. Step 4: Simplify right side
    13,974.64x = 154,449,158.95
  5. Step 5: Solve for x
    x = 154,449,158.95/13,974.64
  6. Step 6: Final answer
    x = 11,052.10

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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.