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Finding the Fourth Proportional to 18,638.72, 25,723.32 and 10,682

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Solution

The fourth proportional to 18,638.72, 25,723.32 and 10,682 is: 14,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.72 : 25,723.32 = 10,682 : x
  2. Step 2: Convert to fraction form
    18,638.72/25,723.32 = 10,682/x
  3. Step 3: Cross multiply
    18,638.72x = 25,723.32 × 10,682
  4. Step 4: Simplify right side
    18,638.72x = 274,776,504.24
  5. Step 5: Solve for x
    x = 274,776,504.24/18,638.72
  6. Step 6: Final answer
    x = 14,742.24

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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.