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Finding the Fourth Proportional to 19,568.52, 29,286.05 and 12,449.16

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Solution

The fourth proportional to 19,568.52, 29,286.05 and 12,449.16 is: 18,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.52 : 29,286.05 = 12,449.16 : x
  2. Step 2: Convert to fraction form
    19,568.52/29,286.05 = 12,449.16/x
  3. Step 3: Cross multiply
    19,568.52x = 29,286.05 × 12,449.16
  4. Step 4: Simplify right side
    19,568.52x = 364,586,659.97
  5. Step 5: Solve for x
    x = 364,586,659.97/19,568.52
  6. Step 6: Final answer
    x = 18,631.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.