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Finding the Fourth Proportional to 26,902.04, 40,346.52 and 8,434.04

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Solution

The fourth proportional to 26,902.04, 40,346.52 and 8,434.04 is: 12,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902.04 : 40,346.52 = 8,434.04 : x
  2. Step 2: Convert to fraction form
    26,902.04/40,346.52 = 8,434.04/x
  3. Step 3: Cross multiply
    26,902.04x = 40,346.52 × 8,434.04
  4. Step 4: Simplify right side
    26,902.04x = 340,284,163.54
  5. Step 5: Solve for x
    x = 340,284,163.54/26,902.04
  6. Step 6: Final answer
    x = 12,649.01

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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.