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Finding the Fourth Proportional to 18,644.96, 25,729.68 and 10,261.28

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Solution

The fourth proportional to 18,644.96, 25,729.68 and 10,261.28 is: 14,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.96 : 25,729.68 = 10,261.28 : x
  2. Step 2: Convert to fraction form
    18,644.96/25,729.68 = 10,261.28/x
  3. Step 3: Cross multiply
    18,644.96x = 25,729.68 × 10,261.28
  4. Step 4: Simplify right side
    18,644.96x = 264,019,450.79
  5. Step 5: Solve for x
    x = 264,019,450.79/18,644.96
  6. Step 6: Final answer
    x = 14,160.37

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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.