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Finding the Fourth Proportional to 26,665, 39,998.46 and 10,023.28

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Solution

The fourth proportional to 26,665, 39,998.46 and 10,023.28 is: 15,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,665 : 39,998.46 = 10,023.28 : x
  2. Step 2: Convert to fraction form
    26,665/39,998.46 = 10,023.28/x
  3. Step 3: Cross multiply
    26,665x = 39,998.46 × 10,023.28
  4. Step 4: Simplify right side
    26,665x = 400,915,764.15
  5. Step 5: Solve for x
    x = 400,915,764.15/26,665
  6. Step 6: Final answer
    x = 15,035.28

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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.