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Finding the Fourth Proportional to 18,682, 25,781.16 and 11,230

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Solution

The fourth proportional to 18,682, 25,781.16 and 11,230 is: 15,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 25,781.16 = 11,230 : x
  2. Step 2: Convert to fraction form
    18,682/25,781.16 = 11,230/x
  3. Step 3: Cross multiply
    18,682x = 25,781.16 × 11,230
  4. Step 4: Simplify right side
    18,682x = 289,522,426.80
  5. Step 5: Solve for x
    x = 289,522,426.80/18,682
  6. Step 6: Final answer
    x = 15,497.40

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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.