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Finding the Fourth Proportional to 18,654.81, 25,744.19 and 10,157.49

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Solution

The fourth proportional to 18,654.81, 25,744.19 and 10,157.49 is: 14,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.81 : 25,744.19 = 10,157.49 : x
  2. Step 2: Convert to fraction form
    18,654.81/25,744.19 = 10,157.49/x
  3. Step 3: Cross multiply
    18,654.81x = 25,744.19 × 10,157.49
  4. Step 4: Simplify right side
    18,654.81x = 261,496,301.70
  5. Step 5: Solve for x
    x = 261,496,301.70/18,654.81
  6. Step 6: Final answer
    x = 14,017.63

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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.