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Finding the Fourth Proportional to 31,863.38, 47,817 and 11,086.88

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Solution

The fourth proportional to 31,863.38, 47,817 and 11,086.88 is: 16,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.38 : 47,817 = 11,086.88 : x
  2. Step 2: Convert to fraction form
    31,863.38/47,817 = 11,086.88/x
  3. Step 3: Cross multiply
    31,863.38x = 47,817 × 11,086.88
  4. Step 4: Simplify right side
    31,863.38x = 530,141,101.88
  5. Step 5: Solve for x
    x = 530,141,101.88/31,863.38
  6. Step 6: Final answer
    x = 16,637.95

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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.