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Finding the Fourth Proportional to 26,902.82, 40,360.70 and 8,434.82

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Solution

The fourth proportional to 26,902.82, 40,360.70 and 8,434.82 is: 12,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.82 : 40,360.70 = 8,434.82 : x
  2. Step 2: Convert to fraction form
    26,902.82/40,360.70 = 8,434.82/x
  3. Step 3: Cross multiply
    26,902.82x = 40,360.70 × 8,434.82
  4. Step 4: Simplify right side
    26,902.82x = 340,435,239.57
  5. Step 5: Solve for x
    x = 340,435,239.57/26,902.82
  6. Step 6: Final answer
    x = 12,654.26

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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.