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Finding the Fourth Proportional to 18,526.38, 27,789.56 and 6,214.38

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Solution

The fourth proportional to 18,526.38, 27,789.56 and 6,214.38 is: 9,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,526.38 : 27,789.56 = 6,214.38 : x
  2. Step 2: Convert to fraction form
    18,526.38/27,789.56 = 6,214.38/x
  3. Step 3: Cross multiply
    18,526.38x = 27,789.56 × 6,214.38
  4. Step 4: Simplify right side
    18,526.38x = 172,694,885.87
  5. Step 5: Solve for x
    x = 172,694,885.87/18,526.38
  6. Step 6: Final answer
    x = 9,321.57

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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.