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Finding the Fourth Proportional to 18,654.98, 25,743.01 and 10,157.07

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Solution

The fourth proportional to 18,654.98, 25,743.01 and 10,157.07 is: 14,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.98 : 25,743.01 = 10,157.07 : x
  2. Step 2: Convert to fraction form
    18,654.98/25,743.01 = 10,157.07/x
  3. Step 3: Cross multiply
    18,654.98x = 25,743.01 × 10,157.07
  4. Step 4: Simplify right side
    18,654.98x = 261,473,580.00
  5. Step 5: Solve for x
    x = 261,473,580.00/18,654.98
  6. Step 6: Final answer
    x = 14,016.29

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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.