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Finding the Fourth Proportional to 18,633.72, 25,716.42 and 10,677

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Solution

The fourth proportional to 18,633.72, 25,716.42 and 10,677 is: 14,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.72 : 25,716.42 = 10,677 : x
  2. Step 2: Convert to fraction form
    18,633.72/25,716.42 = 10,677/x
  3. Step 3: Cross multiply
    18,633.72x = 25,716.42 × 10,677
  4. Step 4: Simplify right side
    18,633.72x = 274,574,216.34
  5. Step 5: Solve for x
    x = 274,574,216.34/18,633.72
  6. Step 6: Final answer
    x = 14,735.34

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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.