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Finding the Fourth Proportional to 27,311.96, 37,713.90 and 17,257.88

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Solution

The fourth proportional to 27,311.96, 37,713.90 and 17,257.88 is: 23,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.96 : 37,713.90 = 17,257.88 : x
  2. Step 2: Convert to fraction form
    27,311.96/37,713.90 = 17,257.88/x
  3. Step 3: Cross multiply
    27,311.96x = 37,713.90 × 17,257.88
  4. Step 4: Simplify right side
    27,311.96x = 650,861,960.53
  5. Step 5: Solve for x
    x = 650,861,960.53/27,311.96
  6. Step 6: Final answer
    x = 23,830.66

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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.