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Finding the Fourth Proportional to 23,187.64, 31,998.30 and 13,756

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Solution

The fourth proportional to 23,187.64, 31,998.30 and 13,756 is: 18,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.64 : 31,998.30 = 13,756 : x
  2. Step 2: Convert to fraction form
    23,187.64/31,998.30 = 13,756/x
  3. Step 3: Cross multiply
    23,187.64x = 31,998.30 × 13,756
  4. Step 4: Simplify right side
    23,187.64x = 440,168,614.80
  5. Step 5: Solve for x
    x = 440,168,614.80/23,187.64
  6. Step 6: Final answer
    x = 18,982.90

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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.