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Finding the Fourth Proportional to 18,654.34, 25,742.96 and 10,270.84

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Solution

The fourth proportional to 18,654.34, 25,742.96 and 10,270.84 is: 14,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.34 : 25,742.96 = 10,270.84 : x
  2. Step 2: Convert to fraction form
    18,654.34/25,742.96 = 10,270.84/x
  3. Step 3: Cross multiply
    18,654.34x = 25,742.96 × 10,270.84
  4. Step 4: Simplify right side
    18,654.34x = 264,401,823.29
  5. Step 5: Solve for x
    x = 264,401,823.29/18,654.34
  6. Step 6: Final answer
    x = 14,173.74

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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.