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Finding the Fourth Proportional to 23,713.56, 32,731.04 and 14,756

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Solution

The fourth proportional to 23,713.56, 32,731.04 and 14,756 is: 20,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.56 : 32,731.04 = 14,756 : x
  2. Step 2: Convert to fraction form
    23,713.56/32,731.04 = 14,756/x
  3. Step 3: Cross multiply
    23,713.56x = 32,731.04 × 14,756
  4. Step 4: Simplify right side
    23,713.56x = 482,979,226.24
  5. Step 5: Solve for x
    x = 482,979,226.24/23,713.56
  6. Step 6: Final answer
    x = 20,367.22

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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.