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Finding the Fourth Proportional to 26,296.87, 39,456.87 and 13,814

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Solution

The fourth proportional to 26,296.87, 39,456.87 and 13,814 is: 20,727.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296.87 : 39,456.87 = 13,814 : x
  2. Step 2: Convert to fraction form
    26,296.87/39,456.87 = 13,814/x
  3. Step 3: Cross multiply
    26,296.87x = 39,456.87 × 13,814
  4. Step 4: Simplify right side
    26,296.87x = 545,057,202.18
  5. Step 5: Solve for x
    x = 545,057,202.18/26,296.87
  6. Step 6: Final answer
    x = 20,727.08

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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.