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Finding the Fourth Proportional to 26,189.72, 39,274.46 and 8,654.84

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Solution

The fourth proportional to 26,189.72, 39,274.46 and 8,654.84 is: 12,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189.72 : 39,274.46 = 8,654.84 : x
  2. Step 2: Convert to fraction form
    26,189.72/39,274.46 = 8,654.84/x
  3. Step 3: Cross multiply
    26,189.72x = 39,274.46 × 8,654.84
  4. Step 4: Simplify right side
    26,189.72x = 339,914,167.39
  5. Step 5: Solve for x
    x = 339,914,167.39/26,189.72
  6. Step 6: Final answer
    x = 12,978.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.