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Finding the Fourth Proportional to 26,553.71, 39,832.38 and 9,021.26

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Solution

The fourth proportional to 26,553.71, 39,832.38 and 9,021.26 is: 13,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.71 : 39,832.38 = 9,021.26 : x
  2. Step 2: Convert to fraction form
    26,553.71/39,832.38 = 9,021.26/x
  3. Step 3: Cross multiply
    26,553.71x = 39,832.38 × 9,021.26
  4. Step 4: Simplify right side
    26,553.71x = 359,338,057.24
  5. Step 5: Solve for x
    x = 359,338,057.24/26,553.71
  6. Step 6: Final answer
    x = 13,532.50

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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.