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Finding the Fourth Proportional to 26,902.31, 40,359.95 and 8,434.31

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Solution

The fourth proportional to 26,902.31, 40,359.95 and 8,434.31 is: 12,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.31 : 40,359.95 = 8,434.31 : x
  2. Step 2: Convert to fraction form
    26,902.31/40,359.95 = 8,434.31/x
  3. Step 3: Cross multiply
    26,902.31x = 40,359.95 × 8,434.31
  4. Step 4: Simplify right side
    26,902.31x = 340,408,329.88
  5. Step 5: Solve for x
    x = 340,408,329.88/26,902.31
  6. Step 6: Final answer
    x = 12,653.50

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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.