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Finding the Fourth Proportional to 18,476.24, 27,723 and 10,691.60

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Solution

The fourth proportional to 18,476.24, 27,723 and 10,691.60 is: 16,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,476.24 : 27,723 = 10,691.60 : x
  2. Step 2: Convert to fraction form
    18,476.24/27,723 = 10,691.60/x
  3. Step 3: Cross multiply
    18,476.24x = 27,723 × 10,691.60
  4. Step 4: Simplify right side
    18,476.24x = 296,403,226.80
  5. Step 5: Solve for x
    x = 296,403,226.80/18,476.24
  6. Step 6: Final answer
    x = 16,042.40

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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.