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Finding the Fourth Proportional to 27,211.34, 37,542 and 17,785.34

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Solution

The fourth proportional to 27,211.34, 37,542 and 17,785.34 is: 24,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.34 : 37,542 = 17,785.34 : x
  2. Step 2: Convert to fraction form
    27,211.34/37,542 = 17,785.34/x
  3. Step 3: Cross multiply
    27,211.34x = 37,542 × 17,785.34
  4. Step 4: Simplify right side
    27,211.34x = 667,697,234.28
  5. Step 5: Solve for x
    x = 667,697,234.28/27,211.34
  6. Step 6: Final answer
    x = 24,537.46

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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.