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Finding the Fourth Proportional to 26,463, 39,694.50 and 11,871

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Solution

The fourth proportional to 26,463, 39,694.50 and 11,871 is: 17,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,463 : 39,694.50 = 11,871 : x
  2. Step 2: Convert to fraction form
    26,463/39,694.50 = 11,871/x
  3. Step 3: Cross multiply
    26,463x = 39,694.50 × 11,871
  4. Step 4: Simplify right side
    26,463x = 471,213,409.50
  5. Step 5: Solve for x
    x = 471,213,409.50/26,463
  6. Step 6: Final answer
    x = 17,806.50

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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.