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Finding the Fourth Proportional to 19,772.64, 27,286.32 and 12,699.12

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Solution

The fourth proportional to 19,772.64, 27,286.32 and 12,699.12 is: 17,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.64 : 27,286.32 = 12,699.12 : x
  2. Step 2: Convert to fraction form
    19,772.64/27,286.32 = 12,699.12/x
  3. Step 3: Cross multiply
    19,772.64x = 27,286.32 × 12,699.12
  4. Step 4: Simplify right side
    19,772.64x = 346,512,252.04
  5. Step 5: Solve for x
    x = 346,512,252.04/19,772.64
  6. Step 6: Final answer
    x = 17,524.83

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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.