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Finding the Fourth Proportional to 26,902.94, 40,360.89 and 8,434.94

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Solution

The fourth proportional to 26,902.94, 40,360.89 and 8,434.94 is: 12,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.94 : 40,360.89 = 8,434.94 : x
  2. Step 2: Convert to fraction form
    26,902.94/40,360.89 = 8,434.94/x
  3. Step 3: Cross multiply
    26,902.94x = 40,360.89 × 8,434.94
  4. Step 4: Simplify right side
    26,902.94x = 340,441,685.50
  5. Step 5: Solve for x
    x = 340,441,685.50/26,902.94
  6. Step 6: Final answer
    x = 12,654.44

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Why These Related Problems?

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