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Finding the Fourth Proportional to 18,564.30, 27,821.18 and 10,231.83

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Solution

The fourth proportional to 18,564.30, 27,821.18 and 10,231.83 is: 15,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.30 : 27,821.18 = 10,231.83 : x
  2. Step 2: Convert to fraction form
    18,564.30/27,821.18 = 10,231.83/x
  3. Step 3: Cross multiply
    18,564.30x = 27,821.18 × 10,231.83
  4. Step 4: Simplify right side
    18,564.30x = 284,661,609.74
  5. Step 5: Solve for x
    x = 284,661,609.74/18,564.30
  6. Step 6: Final answer
    x = 15,333.82

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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.