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Finding the Fourth Proportional to 27,882.83, 38,485.68 and 17,266.43

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Solution

The fourth proportional to 27,882.83, 38,485.68 and 17,266.43 is: 23,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.83 : 38,485.68 = 17,266.43 : x
  2. Step 2: Convert to fraction form
    27,882.83/38,485.68 = 17,266.43/x
  3. Step 3: Cross multiply
    27,882.83x = 38,485.68 × 17,266.43
  4. Step 4: Simplify right side
    27,882.83x = 664,510,299.72
  5. Step 5: Solve for x
    x = 664,510,299.72/27,882.83
  6. Step 6: Final answer
    x = 23,832.24

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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.